KILLED proof of input_bWXoWb93DU.trs # AProVE Commit ID: aff8ecad908e01718a4c36e68d2e55d5e0f16e15 fuhs 20220216 unpublished The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). (0) CpxTRS (1) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxTRS (3) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (4) CpxTRS (5) RelTrsToWeightedTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxWeightedTrs (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxTypedWeightedTrs (9) CompletionProof [UPPER BOUND(ID), 0 ms] (10) CpxTypedWeightedCompleteTrs (11) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (12) CpxRNTS (13) CompletionProof [UPPER BOUND(ID), 0 ms] (14) CpxTypedWeightedCompleteTrs (15) NarrowingProof [BOTH BOUNDS(ID, ID), 398 ms] (16) CpxTypedWeightedCompleteTrs (17) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (18) CpxRNTS (19) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxRNTS (21) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms] (22) CdtProblem (23) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CdtProblem (25) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 13 ms] (26) CdtProblem (27) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (28) CdtProblem (29) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (30) CdtProblem (31) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (32) CdtProblem (33) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (34) CdtProblem (35) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (36) CdtProblem (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (38) CdtProblem (39) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 12 ms] (40) CdtProblem (41) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CdtProblem (43) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 8 ms] (44) CdtProblem (45) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (46) CdtProblem (47) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (50) CdtProblem (51) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (52) CdtProblem (53) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 26 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), 0 ms] (62) CdtProblem (63) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (64) CdtProblem (65) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3 ms] (66) CdtProblem (67) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (68) CdtProblem (69) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (70) CdtProblem (71) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 24 ms] (72) CdtProblem (73) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (74) CdtProblem (75) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (76) CdtProblem (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 38 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), 38 ms] (84) CdtProblem (85) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (86) CdtProblem (87) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 52 ms] (88) CdtProblem (89) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (90) CdtProblem (91) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 25 ms] (92) CdtProblem (93) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (94) CdtProblem (95) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 11 ms] (96) CdtProblem (97) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (98) CdtProblem (99) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 58 ms] (100) CdtProblem (101) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (102) CdtProblem (103) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 45 ms] (104) CdtProblem (105) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 8 ms] (106) CdtProblem (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 12 ms] (108) CdtProblem (109) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 11 ms] (110) CdtProblem (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 64 ms] (112) CdtProblem (113) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 12 ms] (114) CdtProblem (115) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 20 ms] (116) CdtProblem (117) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (118) CdtProblem (119) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 28 ms] (120) CdtProblem (121) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (122) CdtProblem (123) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 40 ms] (124) CdtProblem (125) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (126) CdtProblem (127) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (128) CdtProblem (129) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (130) CdtProblem (131) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 30 ms] (132) CdtProblem (133) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (134) CdtProblem (135) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 43 ms] (136) CdtProblem (137) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (138) CdtProblem (139) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 26 ms] (140) CdtProblem (141) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 10 ms] (142) CdtProblem (143) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 26 ms] (144) CdtProblem (145) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (146) CdtProblem (147) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 20 ms] (148) CdtProblem (149) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (150) CdtProblem (151) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 20 ms] (152) CdtProblem (153) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 4 ms] (154) CdtProblem (155) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (156) CdtProblem (157) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (158) CdtProblem (159) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 58 ms] (160) CdtProblem (161) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 4 ms] (162) CdtProblem (163) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 39 ms] (164) CdtProblem (165) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (166) CdtProblem (167) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 33 ms] (168) CdtProblem (169) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (170) CdtProblem (171) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 68 ms] (172) CdtProblem (173) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (174) CdtProblem (175) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 22 ms] (176) CdtProblem (177) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (178) CdtProblem (179) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (180) CdtProblem (181) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (182) CdtProblem (183) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 7 ms] (184) CdtProblem (185) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (186) CdtProblem (187) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 39 ms] (188) CdtProblem (189) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (190) CdtProblem (191) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 12 ms] (192) CdtProblem (193) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (194) CdtProblem (195) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 10 ms] (196) CdtProblem (197) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (198) CdtProblem (199) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 37 ms] (200) CdtProblem (201) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (202) CdtProblem (203) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (204) CdtProblem (205) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 78 ms] (206) CdtProblem (207) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 22 ms] (208) CdtProblem (209) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 19 ms] (210) CdtProblem (211) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 17 ms] (212) CdtProblem (213) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (214) CdtProblem (215) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (216) CdtProblem (217) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 64 ms] (218) CdtProblem (219) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (220) CdtProblem (221) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (222) 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__U11(tt, M, N) -> a__U12(tt, M, N) a__U12(tt, M, N) -> s(a__plus(mark(N), mark(M))) a__U21(tt, M, N) -> a__U22(tt, M, N) a__U22(tt, M, N) -> a__plus(a__x(mark(N), mark(M)), mark(N)) a__plus(N, 0) -> mark(N) a__plus(N, s(M)) -> a__U11(tt, M, N) a__x(N, 0) -> 0 a__x(N, s(M)) -> a__U21(tt, M, N) mark(U11(X1, X2, X3)) -> a__U11(mark(X1), X2, X3) mark(U12(X1, X2, X3)) -> a__U12(mark(X1), X2, X3) mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) mark(U21(X1, X2, X3)) -> a__U21(mark(X1), X2, X3) mark(U22(X1, X2, X3)) -> a__U22(mark(X1), X2, X3) mark(x(X1, X2)) -> a__x(mark(X1), mark(X2)) mark(tt) -> tt mark(s(X)) -> s(mark(X)) mark(0) -> 0 a__U11(X1, X2, X3) -> U11(X1, X2, X3) a__U12(X1, X2, X3) -> U12(X1, X2, X3) a__plus(X1, X2) -> plus(X1, X2) a__U21(X1, X2, X3) -> U21(X1, X2, X3) a__U22(X1, X2, X3) -> U22(X1, X2, X3) a__x(X1, X2) -> x(X1, X2) 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__U11(tt, M, N) -> a__U12(tt, M, N) a__U12(tt, M, N) -> s(a__plus(mark(N), mark(M))) a__U21(tt, M, N) -> a__U22(tt, M, N) a__U22(tt, M, N) -> a__plus(a__x(mark(N), mark(M)), mark(N)) a__plus(N, 0') -> mark(N) a__plus(N, s(M)) -> a__U11(tt, M, N) a__x(N, 0') -> 0' a__x(N, s(M)) -> a__U21(tt, M, N) mark(U11(X1, X2, X3)) -> a__U11(mark(X1), X2, X3) mark(U12(X1, X2, X3)) -> a__U12(mark(X1), X2, X3) mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) mark(U21(X1, X2, X3)) -> a__U21(mark(X1), X2, X3) mark(U22(X1, X2, X3)) -> a__U22(mark(X1), X2, X3) mark(x(X1, X2)) -> a__x(mark(X1), mark(X2)) mark(tt) -> tt mark(s(X)) -> s(mark(X)) mark(0') -> 0' a__U11(X1, X2, X3) -> U11(X1, X2, X3) a__U12(X1, X2, X3) -> U12(X1, X2, X3) a__plus(X1, X2) -> plus(X1, X2) a__U21(X1, X2, X3) -> U21(X1, X2, X3) a__U22(X1, X2, X3) -> U22(X1, X2, X3) a__x(X1, X2) -> x(X1, X2) 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__U11(tt, M, N) -> a__U12(tt, M, N) a__U12(tt, M, N) -> s(a__plus(mark(N), mark(M))) a__U21(tt, M, N) -> a__U22(tt, M, N) a__U22(tt, M, N) -> a__plus(a__x(mark(N), mark(M)), mark(N)) a__plus(N, 0) -> mark(N) a__plus(N, s(M)) -> a__U11(tt, M, N) a__x(N, 0) -> 0 a__x(N, s(M)) -> a__U21(tt, M, N) mark(U11(X1, X2, X3)) -> a__U11(mark(X1), X2, X3) mark(U12(X1, X2, X3)) -> a__U12(mark(X1), X2, X3) mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) mark(U21(X1, X2, X3)) -> a__U21(mark(X1), X2, X3) mark(U22(X1, X2, X3)) -> a__U22(mark(X1), X2, X3) mark(x(X1, X2)) -> a__x(mark(X1), mark(X2)) mark(tt) -> tt mark(s(X)) -> s(mark(X)) mark(0) -> 0 a__U11(X1, X2, X3) -> U11(X1, X2, X3) a__U12(X1, X2, X3) -> U12(X1, X2, X3) a__plus(X1, X2) -> plus(X1, X2) a__U21(X1, X2, X3) -> U21(X1, X2, X3) a__U22(X1, X2, X3) -> U22(X1, X2, X3) a__x(X1, X2) -> x(X1, X2) S is empty. Rewrite Strategy: PARALLEL_INNERMOST ---------------------------------------- (5) RelTrsToWeightedTrsProof (UPPER BOUND(ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: a__U11(tt, M, N) -> a__U12(tt, M, N) [1] a__U12(tt, M, N) -> s(a__plus(mark(N), mark(M))) [1] a__U21(tt, M, N) -> a__U22(tt, M, N) [1] a__U22(tt, M, N) -> a__plus(a__x(mark(N), mark(M)), mark(N)) [1] a__plus(N, 0) -> mark(N) [1] a__plus(N, s(M)) -> a__U11(tt, M, N) [1] a__x(N, 0) -> 0 [1] a__x(N, s(M)) -> a__U21(tt, M, N) [1] mark(U11(X1, X2, X3)) -> a__U11(mark(X1), X2, X3) [1] mark(U12(X1, X2, X3)) -> a__U12(mark(X1), X2, X3) [1] mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) [1] mark(U21(X1, X2, X3)) -> a__U21(mark(X1), X2, X3) [1] mark(U22(X1, X2, X3)) -> a__U22(mark(X1), X2, X3) [1] mark(x(X1, X2)) -> a__x(mark(X1), mark(X2)) [1] mark(tt) -> tt [1] mark(s(X)) -> s(mark(X)) [1] mark(0) -> 0 [1] a__U11(X1, X2, X3) -> U11(X1, X2, X3) [1] a__U12(X1, X2, X3) -> U12(X1, X2, X3) [1] a__plus(X1, X2) -> plus(X1, X2) [1] a__U21(X1, X2, X3) -> U21(X1, X2, X3) [1] a__U22(X1, X2, X3) -> U22(X1, X2, X3) [1] a__x(X1, X2) -> x(X1, X2) [1] Rewrite Strategy: INNERMOST ---------------------------------------- (7) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (8) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: a__U11(tt, M, N) -> a__U12(tt, M, N) [1] a__U12(tt, M, N) -> s(a__plus(mark(N), mark(M))) [1] a__U21(tt, M, N) -> a__U22(tt, M, N) [1] a__U22(tt, M, N) -> a__plus(a__x(mark(N), mark(M)), mark(N)) [1] a__plus(N, 0) -> mark(N) [1] a__plus(N, s(M)) -> a__U11(tt, M, N) [1] a__x(N, 0) -> 0 [1] a__x(N, s(M)) -> a__U21(tt, M, N) [1] mark(U11(X1, X2, X3)) -> a__U11(mark(X1), X2, X3) [1] mark(U12(X1, X2, X3)) -> a__U12(mark(X1), X2, X3) [1] mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) [1] mark(U21(X1, X2, X3)) -> a__U21(mark(X1), X2, X3) [1] mark(U22(X1, X2, X3)) -> a__U22(mark(X1), X2, X3) [1] mark(x(X1, X2)) -> a__x(mark(X1), mark(X2)) [1] mark(tt) -> tt [1] mark(s(X)) -> s(mark(X)) [1] mark(0) -> 0 [1] a__U11(X1, X2, X3) -> U11(X1, X2, X3) [1] a__U12(X1, X2, X3) -> U12(X1, X2, X3) [1] a__plus(X1, X2) -> plus(X1, X2) [1] a__U21(X1, X2, X3) -> U21(X1, X2, X3) [1] a__U22(X1, X2, X3) -> U22(X1, X2, X3) [1] a__x(X1, X2) -> x(X1, X2) [1] The TRS has the following type information: a__U11 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x tt :: tt:s:0:U11:U12:plus:U21:U22:x a__U12 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x s :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x a__plus :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x mark :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x a__U21 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x a__U22 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x a__x :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x 0 :: tt:s:0:U11:U12:plus:U21:U22:x U11 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x U12 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x plus :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x U21 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x U22 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x x :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x Rewrite Strategy: INNERMOST ---------------------------------------- (9) 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 ---------------------------------------- (10) 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__U11(tt, M, N) -> a__U12(tt, M, N) [1] a__U12(tt, M, N) -> s(a__plus(mark(N), mark(M))) [1] a__U21(tt, M, N) -> a__U22(tt, M, N) [1] a__U22(tt, M, N) -> a__plus(a__x(mark(N), mark(M)), mark(N)) [1] a__plus(N, 0) -> mark(N) [1] a__plus(N, s(M)) -> a__U11(tt, M, N) [1] a__x(N, 0) -> 0 [1] a__x(N, s(M)) -> a__U21(tt, M, N) [1] mark(U11(X1, X2, X3)) -> a__U11(mark(X1), X2, X3) [1] mark(U12(X1, X2, X3)) -> a__U12(mark(X1), X2, X3) [1] mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) [1] mark(U21(X1, X2, X3)) -> a__U21(mark(X1), X2, X3) [1] mark(U22(X1, X2, X3)) -> a__U22(mark(X1), X2, X3) [1] mark(x(X1, X2)) -> a__x(mark(X1), mark(X2)) [1] mark(tt) -> tt [1] mark(s(X)) -> s(mark(X)) [1] mark(0) -> 0 [1] a__U11(X1, X2, X3) -> U11(X1, X2, X3) [1] a__U12(X1, X2, X3) -> U12(X1, X2, X3) [1] a__plus(X1, X2) -> plus(X1, X2) [1] a__U21(X1, X2, X3) -> U21(X1, X2, X3) [1] a__U22(X1, X2, X3) -> U22(X1, X2, X3) [1] a__x(X1, X2) -> x(X1, X2) [1] The TRS has the following type information: a__U11 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x tt :: tt:s:0:U11:U12:plus:U21:U22:x a__U12 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x s :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x a__plus :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x mark :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x a__U21 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x a__U22 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x a__x :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x 0 :: tt:s:0:U11:U12:plus:U21:U22:x U11 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x U12 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x plus :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x U21 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x U22 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x x :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x Rewrite Strategy: INNERMOST ---------------------------------------- (11) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: tt => 1 0 => 0 ---------------------------------------- (12) Obligation: Complexity RNTS consisting of the following rules: a__U11(z, z', z'') -{ 1 }-> a__U12(1, M, N) :|: z' = M, z = 1, z'' = N, M >= 0, N >= 0 a__U11(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U12(z, z', z'') -{ 1 }-> 1 + a__plus(mark(N), mark(M)) :|: z' = M, z = 1, z'' = N, M >= 0, N >= 0 a__U12(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U21(z, z', z'') -{ 1 }-> a__U22(1, M, N) :|: z' = M, z = 1, z'' = N, M >= 0, N >= 0 a__U21(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U22(z, z', z'') -{ 1 }-> a__plus(a__x(mark(N), mark(M)), mark(N)) :|: z' = M, z = 1, z'' = N, M >= 0, N >= 0 a__U22(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__plus(z, z') -{ 1 }-> mark(N) :|: z = N, z' = 0, N >= 0 a__plus(z, z') -{ 1 }-> a__U11(1, M, N) :|: z' = 1 + M, z = N, M >= 0, N >= 0 a__plus(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__x(z, z') -{ 1 }-> a__U21(1, M, N) :|: z' = 1 + M, z = N, M >= 0, N >= 0 a__x(z, z') -{ 1 }-> 0 :|: z = N, z' = 0, N >= 0 a__x(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 mark(z) -{ 1 }-> a__x(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__plus(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__U22(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U21(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U12(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> a__U11(mark(X1), X2, X3) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> 1 :|: z = 1 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + mark(X) :|: z = 1 + X, X >= 0 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (13) 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__x_2 a__U22_3 a__U12_3 a__U21_3 a__plus_2 a__U11_3 Due to the following rules being added: none And the following fresh constants: none ---------------------------------------- (14) 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__U11(tt, M, N) -> a__U12(tt, M, N) [1] a__U12(tt, M, N) -> s(a__plus(mark(N), mark(M))) [1] a__U21(tt, M, N) -> a__U22(tt, M, N) [1] a__U22(tt, M, N) -> a__plus(a__x(mark(N), mark(M)), mark(N)) [1] a__plus(N, 0) -> mark(N) [1] a__plus(N, s(M)) -> a__U11(tt, M, N) [1] a__x(N, 0) -> 0 [1] a__x(N, s(M)) -> a__U21(tt, M, N) [1] mark(U11(X1, X2, X3)) -> a__U11(mark(X1), X2, X3) [1] mark(U12(X1, X2, X3)) -> a__U12(mark(X1), X2, X3) [1] mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) [1] mark(U21(X1, X2, X3)) -> a__U21(mark(X1), X2, X3) [1] mark(U22(X1, X2, X3)) -> a__U22(mark(X1), X2, X3) [1] mark(x(X1, X2)) -> a__x(mark(X1), mark(X2)) [1] mark(tt) -> tt [1] mark(s(X)) -> s(mark(X)) [1] mark(0) -> 0 [1] a__U11(X1, X2, X3) -> U11(X1, X2, X3) [1] a__U12(X1, X2, X3) -> U12(X1, X2, X3) [1] a__plus(X1, X2) -> plus(X1, X2) [1] a__U21(X1, X2, X3) -> U21(X1, X2, X3) [1] a__U22(X1, X2, X3) -> U22(X1, X2, X3) [1] a__x(X1, X2) -> x(X1, X2) [1] The TRS has the following type information: a__U11 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x tt :: tt:s:0:U11:U12:plus:U21:U22:x a__U12 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x s :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x a__plus :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x mark :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x a__U21 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x a__U22 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x a__x :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x 0 :: tt:s:0:U11:U12:plus:U21:U22:x U11 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x U12 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x plus :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x U21 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x U22 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x x :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x Rewrite Strategy: INNERMOST ---------------------------------------- (15) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (16) 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__U11(tt, M, N) -> a__U12(tt, M, N) [1] a__U12(tt, M, N) -> s(a__plus(mark(N), mark(M))) [1] a__U21(tt, M, N) -> a__U22(tt, M, N) [1] a__U22(tt, M, N) -> a__plus(a__x(mark(N), mark(M)), mark(N)) [1] a__plus(N, 0) -> mark(N) [1] a__plus(N, s(M)) -> a__U11(tt, M, N) [1] a__x(N, 0) -> 0 [1] a__x(N, s(M)) -> a__U21(tt, M, N) [1] mark(U11(U11(X1119, X2119, X379), X2, X3)) -> a__U11(a__U11(mark(X1119), X2119, X379), X2, X3) [2] mark(U11(U12(X1120, X2120, X380), X2, X3)) -> a__U11(a__U12(mark(X1120), X2120, X380), X2, X3) [2] mark(U11(plus(X1121, X2121), X2, X3)) -> a__U11(a__plus(mark(X1121), mark(X2121)), X2, X3) [2] mark(U11(U21(X1122, X2122, X381), X2, X3)) -> a__U11(a__U21(mark(X1122), X2122, X381), X2, X3) [2] mark(U11(U22(X1123, X2123, X382), X2, X3)) -> a__U11(a__U22(mark(X1123), X2123, X382), X2, X3) [2] mark(U11(x(X1124, X2124), X2, X3)) -> a__U11(a__x(mark(X1124), mark(X2124)), X2, X3) [2] mark(U11(tt, X2, X3)) -> a__U11(tt, X2, X3) [2] mark(U11(s(X49), X2, X3)) -> a__U11(s(mark(X49)), X2, X3) [2] mark(U11(0, X2, X3)) -> a__U11(0, X2, X3) [2] mark(U12(U11(X1125, X2125, X383), X2, X3)) -> a__U12(a__U11(mark(X1125), X2125, X383), X2, X3) [2] mark(U12(U12(X1126, X2126, X384), X2, X3)) -> a__U12(a__U12(mark(X1126), X2126, X384), X2, X3) [2] mark(U12(plus(X1127, X2127), X2, X3)) -> a__U12(a__plus(mark(X1127), mark(X2127)), X2, X3) [2] mark(U12(U21(X1128, X2128, X385), X2, X3)) -> a__U12(a__U21(mark(X1128), X2128, X385), X2, X3) [2] mark(U12(U22(X1129, X2129, X386), X2, X3)) -> a__U12(a__U22(mark(X1129), X2129, X386), X2, X3) [2] mark(U12(x(X1130, X2130), X2, X3)) -> a__U12(a__x(mark(X1130), mark(X2130)), X2, X3) [2] mark(U12(tt, X2, X3)) -> a__U12(tt, X2, X3) [2] mark(U12(s(X50), X2, X3)) -> a__U12(s(mark(X50)), X2, X3) [2] mark(U12(0, X2, X3)) -> a__U12(0, X2, X3) [2] mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) [1] mark(U21(U11(X1191, X2191, X3127), X2, X3)) -> a__U21(a__U11(mark(X1191), X2191, X3127), X2, X3) [2] mark(U21(U12(X1192, X2192, X3128), X2, X3)) -> a__U21(a__U12(mark(X1192), X2192, X3128), X2, X3) [2] mark(U21(plus(X1193, X2193), X2, X3)) -> a__U21(a__plus(mark(X1193), mark(X2193)), X2, X3) [2] mark(U21(U21(X1194, X2194, X3129), X2, X3)) -> a__U21(a__U21(mark(X1194), X2194, X3129), X2, X3) [2] mark(U21(U22(X1195, X2195, X3130), X2, X3)) -> a__U21(a__U22(mark(X1195), X2195, X3130), X2, X3) [2] mark(U21(x(X1196, X2196), X2, X3)) -> a__U21(a__x(mark(X1196), mark(X2196)), X2, X3) [2] mark(U21(tt, X2, X3)) -> a__U21(tt, X2, X3) [2] mark(U21(s(X61), X2, X3)) -> a__U21(s(mark(X61)), X2, X3) [2] mark(U21(0, X2, X3)) -> a__U21(0, X2, X3) [2] mark(U22(U11(X1197, X2197, X3131), X2, X3)) -> a__U22(a__U11(mark(X1197), X2197, X3131), X2, X3) [2] mark(U22(U12(X1198, X2198, X3132), X2, X3)) -> a__U22(a__U12(mark(X1198), X2198, X3132), X2, X3) [2] mark(U22(plus(X1199, X2199), X2, X3)) -> a__U22(a__plus(mark(X1199), mark(X2199)), X2, X3) [2] mark(U22(U21(X1200, X2200, X3133), X2, X3)) -> a__U22(a__U21(mark(X1200), X2200, X3133), X2, X3) [2] mark(U22(U22(X1201, X2201, X3134), X2, X3)) -> a__U22(a__U22(mark(X1201), X2201, X3134), X2, X3) [2] mark(U22(x(X1202, X2202), X2, X3)) -> a__U22(a__x(mark(X1202), mark(X2202)), X2, X3) [2] mark(U22(tt, X2, X3)) -> a__U22(tt, X2, X3) [2] mark(U22(s(X62), X2, X3)) -> a__U22(s(mark(X62)), X2, X3) [2] mark(U22(0, X2, X3)) -> a__U22(0, X2, X3) [2] mark(x(X1, X2)) -> a__x(mark(X1), mark(X2)) [1] mark(tt) -> tt [1] mark(s(X)) -> s(mark(X)) [1] mark(0) -> 0 [1] a__U11(X1, X2, X3) -> U11(X1, X2, X3) [1] a__U12(X1, X2, X3) -> U12(X1, X2, X3) [1] a__plus(X1, X2) -> plus(X1, X2) [1] a__U21(X1, X2, X3) -> U21(X1, X2, X3) [1] a__U22(X1, X2, X3) -> U22(X1, X2, X3) [1] a__x(X1, X2) -> x(X1, X2) [1] The TRS has the following type information: a__U11 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x tt :: tt:s:0:U11:U12:plus:U21:U22:x a__U12 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x s :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x a__plus :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x mark :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x a__U21 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x a__U22 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x a__x :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x 0 :: tt:s:0:U11:U12:plus:U21:U22:x U11 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x U12 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x plus :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x U21 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x U22 :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x x :: tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x -> tt:s:0:U11:U12:plus:U21:U22:x Rewrite Strategy: INNERMOST ---------------------------------------- (17) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: tt => 1 0 => 0 ---------------------------------------- (18) Obligation: Complexity RNTS consisting of the following rules: a__U11(z, z', z'') -{ 1 }-> a__U12(1, M, N) :|: z' = M, z = 1, z'' = N, M >= 0, N >= 0 a__U11(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U12(z, z', z'') -{ 1 }-> 1 + a__plus(mark(N), mark(M)) :|: z' = M, z = 1, z'' = N, M >= 0, N >= 0 a__U12(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U21(z, z', z'') -{ 1 }-> a__U22(1, M, N) :|: z' = M, z = 1, z'' = N, M >= 0, N >= 0 a__U21(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__U22(z, z', z'') -{ 1 }-> a__plus(a__x(mark(N), mark(M)), mark(N)) :|: z' = M, z = 1, z'' = N, M >= 0, N >= 0 a__U22(z, z', z'') -{ 1 }-> 1 + X1 + X2 + X3 :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = X3 a__plus(z, z') -{ 1 }-> mark(N) :|: z = N, z' = 0, N >= 0 a__plus(z, z') -{ 1 }-> a__U11(1, M, N) :|: z' = 1 + M, z = N, M >= 0, N >= 0 a__plus(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__x(z, z') -{ 1 }-> a__U21(1, M, N) :|: z' = 1 + M, z = N, M >= 0, N >= 0 a__x(z, z') -{ 1 }-> 0 :|: z = N, z' = 0, N >= 0 a__x(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 mark(z) -{ 1 }-> a__x(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__plus(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 2 }-> a__U22(a__x(mark(X1202), mark(X2202)), X2, X3) :|: z = 1 + (1 + X1202 + X2202) + X2 + X3, X2202 >= 0, X3 >= 0, X2 >= 0, X1202 >= 0 mark(z) -{ 2 }-> a__U22(a__plus(mark(X1199), mark(X2199)), X2, X3) :|: z = 1 + (1 + X1199 + X2199) + X2 + X3, X2199 >= 0, X3 >= 0, X2 >= 0, X1199 >= 0 mark(z) -{ 2 }-> a__U22(a__U22(mark(X1201), X2201, X3134), X2, X3) :|: X2201 >= 0, X3134 >= 0, z = 1 + (1 + X1201 + X2201 + X3134) + X2 + X3, X3 >= 0, X2 >= 0, X1201 >= 0 mark(z) -{ 2 }-> a__U22(a__U21(mark(X1200), X2200, X3133), X2, X3) :|: z = 1 + (1 + X1200 + X2200 + X3133) + X2 + X3, X3133 >= 0, X2200 >= 0, X3 >= 0, X2 >= 0, X1200 >= 0 mark(z) -{ 2 }-> a__U22(a__U12(mark(X1198), X2198, X3132), X2, X3) :|: X1198 >= 0, X3132 >= 0, X2198 >= 0, z = 1 + (1 + X1198 + X2198 + X3132) + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U22(a__U11(mark(X1197), X2197, X3131), X2, X3) :|: X2197 >= 0, z = 1 + (1 + X1197 + X2197 + X3131) + X2 + X3, X3 >= 0, X1197 >= 0, X2 >= 0, X3131 >= 0 mark(z) -{ 2 }-> a__U22(1, X2, X3) :|: z = 1 + 1 + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U22(0, X2, X3) :|: z = 1 + 0 + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U22(1 + mark(X62), X2, X3) :|: z = 1 + (1 + X62) + X2 + X3, X3 >= 0, X62 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U21(a__x(mark(X1196), mark(X2196)), X2, X3) :|: X1196 >= 0, X3 >= 0, z = 1 + (1 + X1196 + X2196) + X2 + X3, X2 >= 0, X2196 >= 0 mark(z) -{ 2 }-> a__U21(a__plus(mark(X1193), mark(X2193)), X2, X3) :|: X2193 >= 0, X3 >= 0, X1193 >= 0, z = 1 + (1 + X1193 + X2193) + X2 + X3, X2 >= 0 mark(z) -{ 2 }-> a__U21(a__U22(mark(X1195), X2195, X3130), X2, X3) :|: X1195 >= 0, X3 >= 0, z = 1 + (1 + X1195 + X2195 + X3130) + X2 + X3, X2 >= 0, X2195 >= 0, X3130 >= 0 mark(z) -{ 2 }-> a__U21(a__U21(mark(X1194), X2194, X3129), X2, X3) :|: X3129 >= 0, X1194 >= 0, X3 >= 0, z = 1 + (1 + X1194 + X2194 + X3129) + X2 + X3, X2 >= 0, X2194 >= 0 mark(z) -{ 2 }-> a__U21(a__U12(mark(X1192), X2192, X3128), X2, X3) :|: X2192 >= 0, X3 >= 0, z = 1 + (1 + X1192 + X2192 + X3128) + X2 + X3, X2 >= 0, X1192 >= 0, X3128 >= 0 mark(z) -{ 2 }-> a__U21(a__U11(mark(X1191), X2191, X3127), X2, X3) :|: X1191 >= 0, z = 1 + (1 + X1191 + X2191 + X3127) + X2 + X3, X2191 >= 0, X3 >= 0, X3127 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U21(1, X2, X3) :|: z = 1 + 1 + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U21(0, X2, X3) :|: z = 1 + 0 + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U21(1 + mark(X61), X2, X3) :|: z = 1 + (1 + X61) + X2 + X3, X61 >= 0, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U12(a__x(mark(X1130), mark(X2130)), X2, X3) :|: X2130 >= 0, X3 >= 0, z = 1 + (1 + X1130 + X2130) + X2 + X3, X1130 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U12(a__plus(mark(X1127), mark(X2127)), X2, X3) :|: X2127 >= 0, X3 >= 0, X1127 >= 0, z = 1 + (1 + X1127 + X2127) + X2 + X3, X2 >= 0 mark(z) -{ 2 }-> a__U12(a__U22(mark(X1129), X2129, X386), X2, X3) :|: X1129 >= 0, z = 1 + (1 + X1129 + X2129 + X386) + X2 + X3, X2129 >= 0, X3 >= 0, X2 >= 0, X386 >= 0 mark(z) -{ 2 }-> a__U12(a__U21(mark(X1128), X2128, X385), X2, X3) :|: X385 >= 0, X2128 >= 0, z = 1 + (1 + X1128 + X2128 + X385) + X2 + X3, X3 >= 0, X1128 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U12(a__U12(mark(X1126), X2126, X384), X2, X3) :|: z = 1 + (1 + X1126 + X2126 + X384) + X2 + X3, X384 >= 0, X1126 >= 0, X3 >= 0, X2 >= 0, X2126 >= 0 mark(z) -{ 2 }-> a__U12(a__U11(mark(X1125), X2125, X383), X2, X3) :|: X1125 >= 0, X383 >= 0, X3 >= 0, z = 1 + (1 + X1125 + X2125 + X383) + X2 + X3, X2 >= 0, X2125 >= 0 mark(z) -{ 2 }-> a__U12(1, X2, X3) :|: z = 1 + 1 + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U12(0, X2, X3) :|: z = 1 + 0 + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U12(1 + mark(X50), X2, X3) :|: X50 >= 0, X3 >= 0, X2 >= 0, z = 1 + (1 + X50) + X2 + X3 mark(z) -{ 2 }-> a__U11(a__x(mark(X1124), mark(X2124)), X2, X3) :|: z = 1 + (1 + X1124 + X2124) + X2 + X3, X3 >= 0, X1124 >= 0, X2 >= 0, X2124 >= 0 mark(z) -{ 2 }-> a__U11(a__plus(mark(X1121), mark(X2121)), X2, X3) :|: X1121 >= 0, X2121 >= 0, X3 >= 0, z = 1 + (1 + X1121 + X2121) + X2 + X3, X2 >= 0 mark(z) -{ 2 }-> a__U11(a__U22(mark(X1123), X2123, X382), X2, X3) :|: X2123 >= 0, X382 >= 0, X3 >= 0, X1123 >= 0, z = 1 + (1 + X1123 + X2123 + X382) + X2 + X3, X2 >= 0 mark(z) -{ 2 }-> a__U11(a__U21(mark(X1122), X2122, X381), X2, X3) :|: X381 >= 0, z = 1 + (1 + X1122 + X2122 + X381) + X2 + X3, X2122 >= 0, X3 >= 0, X2 >= 0, X1122 >= 0 mark(z) -{ 2 }-> a__U11(a__U12(mark(X1120), X2120, X380), X2, X3) :|: z = 1 + (1 + X1120 + X2120 + X380) + X2 + X3, X2120 >= 0, X3 >= 0, X1120 >= 0, X380 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U11(a__U11(mark(X1119), X2119, X379), X2, X3) :|: X1119 >= 0, z = 1 + (1 + X1119 + X2119 + X379) + X2 + X3, X379 >= 0, X2119 >= 0, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U11(1, X2, X3) :|: z = 1 + 1 + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U11(0, X2, X3) :|: z = 1 + 0 + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U11(1 + mark(X49), X2, X3) :|: X49 >= 0, X3 >= 0, z = 1 + (1 + X49) + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> 1 :|: z = 1 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + mark(X) :|: z = 1 + X, X >= 0 ---------------------------------------- (19) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (20) Obligation: Complexity RNTS consisting of the following rules: a__U11(z, z', z'') -{ 1 }-> a__U12(1, z', z'') :|: z = 1, z' >= 0, z'' >= 0 a__U11(z, z', z'') -{ 1 }-> 1 + z + z' + z'' :|: z >= 0, z'' >= 0, z' >= 0 a__U12(z, z', z'') -{ 1 }-> 1 + a__plus(mark(z''), mark(z')) :|: z = 1, z' >= 0, z'' >= 0 a__U12(z, z', z'') -{ 1 }-> 1 + z + z' + z'' :|: z >= 0, z'' >= 0, z' >= 0 a__U21(z, z', z'') -{ 1 }-> a__U22(1, z', z'') :|: z = 1, z' >= 0, z'' >= 0 a__U21(z, z', z'') -{ 1 }-> 1 + z + z' + z'' :|: z >= 0, z'' >= 0, z' >= 0 a__U22(z, z', z'') -{ 1 }-> a__plus(a__x(mark(z''), mark(z')), mark(z'')) :|: z = 1, z' >= 0, z'' >= 0 a__U22(z, z', z'') -{ 1 }-> 1 + z + z' + z'' :|: z >= 0, z'' >= 0, z' >= 0 a__plus(z, z') -{ 1 }-> mark(z) :|: z' = 0, z >= 0 a__plus(z, z') -{ 1 }-> a__U11(1, z' - 1, z) :|: z' - 1 >= 0, z >= 0 a__plus(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__x(z, z') -{ 1 }-> a__U21(1, z' - 1, z) :|: z' - 1 >= 0, z >= 0 a__x(z, z') -{ 1 }-> 0 :|: z' = 0, z >= 0 a__x(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 mark(z) -{ 1 }-> a__x(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__plus(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 2 }-> a__U22(a__x(mark(X1202), mark(X2202)), X2, X3) :|: z = 1 + (1 + X1202 + X2202) + X2 + X3, X2202 >= 0, X3 >= 0, X2 >= 0, X1202 >= 0 mark(z) -{ 2 }-> a__U22(a__plus(mark(X1199), mark(X2199)), X2, X3) :|: z = 1 + (1 + X1199 + X2199) + X2 + X3, X2199 >= 0, X3 >= 0, X2 >= 0, X1199 >= 0 mark(z) -{ 2 }-> a__U22(a__U22(mark(X1201), X2201, X3134), X2, X3) :|: X2201 >= 0, X3134 >= 0, z = 1 + (1 + X1201 + X2201 + X3134) + X2 + X3, X3 >= 0, X2 >= 0, X1201 >= 0 mark(z) -{ 2 }-> a__U22(a__U21(mark(X1200), X2200, X3133), X2, X3) :|: z = 1 + (1 + X1200 + X2200 + X3133) + X2 + X3, X3133 >= 0, X2200 >= 0, X3 >= 0, X2 >= 0, X1200 >= 0 mark(z) -{ 2 }-> a__U22(a__U12(mark(X1198), X2198, X3132), X2, X3) :|: X1198 >= 0, X3132 >= 0, X2198 >= 0, z = 1 + (1 + X1198 + X2198 + X3132) + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U22(a__U11(mark(X1197), X2197, X3131), X2, X3) :|: X2197 >= 0, z = 1 + (1 + X1197 + X2197 + X3131) + X2 + X3, X3 >= 0, X1197 >= 0, X2 >= 0, X3131 >= 0 mark(z) -{ 2 }-> a__U22(1, X2, X3) :|: z = 1 + 1 + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U22(0, X2, X3) :|: z = 1 + 0 + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U22(1 + mark(X62), X2, X3) :|: z = 1 + (1 + X62) + X2 + X3, X3 >= 0, X62 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U21(a__x(mark(X1196), mark(X2196)), X2, X3) :|: X1196 >= 0, X3 >= 0, z = 1 + (1 + X1196 + X2196) + X2 + X3, X2 >= 0, X2196 >= 0 mark(z) -{ 2 }-> a__U21(a__plus(mark(X1193), mark(X2193)), X2, X3) :|: X2193 >= 0, X3 >= 0, X1193 >= 0, z = 1 + (1 + X1193 + X2193) + X2 + X3, X2 >= 0 mark(z) -{ 2 }-> a__U21(a__U22(mark(X1195), X2195, X3130), X2, X3) :|: X1195 >= 0, X3 >= 0, z = 1 + (1 + X1195 + X2195 + X3130) + X2 + X3, X2 >= 0, X2195 >= 0, X3130 >= 0 mark(z) -{ 2 }-> a__U21(a__U21(mark(X1194), X2194, X3129), X2, X3) :|: X3129 >= 0, X1194 >= 0, X3 >= 0, z = 1 + (1 + X1194 + X2194 + X3129) + X2 + X3, X2 >= 0, X2194 >= 0 mark(z) -{ 2 }-> a__U21(a__U12(mark(X1192), X2192, X3128), X2, X3) :|: X2192 >= 0, X3 >= 0, z = 1 + (1 + X1192 + X2192 + X3128) + X2 + X3, X2 >= 0, X1192 >= 0, X3128 >= 0 mark(z) -{ 2 }-> a__U21(a__U11(mark(X1191), X2191, X3127), X2, X3) :|: X1191 >= 0, z = 1 + (1 + X1191 + X2191 + X3127) + X2 + X3, X2191 >= 0, X3 >= 0, X3127 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U21(1, X2, X3) :|: z = 1 + 1 + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U21(0, X2, X3) :|: z = 1 + 0 + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U21(1 + mark(X61), X2, X3) :|: z = 1 + (1 + X61) + X2 + X3, X61 >= 0, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U12(a__x(mark(X1130), mark(X2130)), X2, X3) :|: X2130 >= 0, X3 >= 0, z = 1 + (1 + X1130 + X2130) + X2 + X3, X1130 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U12(a__plus(mark(X1127), mark(X2127)), X2, X3) :|: X2127 >= 0, X3 >= 0, X1127 >= 0, z = 1 + (1 + X1127 + X2127) + X2 + X3, X2 >= 0 mark(z) -{ 2 }-> a__U12(a__U22(mark(X1129), X2129, X386), X2, X3) :|: X1129 >= 0, z = 1 + (1 + X1129 + X2129 + X386) + X2 + X3, X2129 >= 0, X3 >= 0, X2 >= 0, X386 >= 0 mark(z) -{ 2 }-> a__U12(a__U21(mark(X1128), X2128, X385), X2, X3) :|: X385 >= 0, X2128 >= 0, z = 1 + (1 + X1128 + X2128 + X385) + X2 + X3, X3 >= 0, X1128 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U12(a__U12(mark(X1126), X2126, X384), X2, X3) :|: z = 1 + (1 + X1126 + X2126 + X384) + X2 + X3, X384 >= 0, X1126 >= 0, X3 >= 0, X2 >= 0, X2126 >= 0 mark(z) -{ 2 }-> a__U12(a__U11(mark(X1125), X2125, X383), X2, X3) :|: X1125 >= 0, X383 >= 0, X3 >= 0, z = 1 + (1 + X1125 + X2125 + X383) + X2 + X3, X2 >= 0, X2125 >= 0 mark(z) -{ 2 }-> a__U12(1, X2, X3) :|: z = 1 + 1 + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U12(0, X2, X3) :|: z = 1 + 0 + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U12(1 + mark(X50), X2, X3) :|: X50 >= 0, X3 >= 0, X2 >= 0, z = 1 + (1 + X50) + X2 + X3 mark(z) -{ 2 }-> a__U11(a__x(mark(X1124), mark(X2124)), X2, X3) :|: z = 1 + (1 + X1124 + X2124) + X2 + X3, X3 >= 0, X1124 >= 0, X2 >= 0, X2124 >= 0 mark(z) -{ 2 }-> a__U11(a__plus(mark(X1121), mark(X2121)), X2, X3) :|: X1121 >= 0, X2121 >= 0, X3 >= 0, z = 1 + (1 + X1121 + X2121) + X2 + X3, X2 >= 0 mark(z) -{ 2 }-> a__U11(a__U22(mark(X1123), X2123, X382), X2, X3) :|: X2123 >= 0, X382 >= 0, X3 >= 0, X1123 >= 0, z = 1 + (1 + X1123 + X2123 + X382) + X2 + X3, X2 >= 0 mark(z) -{ 2 }-> a__U11(a__U21(mark(X1122), X2122, X381), X2, X3) :|: X381 >= 0, z = 1 + (1 + X1122 + X2122 + X381) + X2 + X3, X2122 >= 0, X3 >= 0, X2 >= 0, X1122 >= 0 mark(z) -{ 2 }-> a__U11(a__U12(mark(X1120), X2120, X380), X2, X3) :|: z = 1 + (1 + X1120 + X2120 + X380) + X2 + X3, X2120 >= 0, X3 >= 0, X1120 >= 0, X380 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U11(a__U11(mark(X1119), X2119, X379), X2, X3) :|: X1119 >= 0, z = 1 + (1 + X1119 + X2119 + X379) + X2 + X3, X379 >= 0, X2119 >= 0, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U11(1, X2, X3) :|: z = 1 + 1 + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U11(0, X2, X3) :|: z = 1 + 0 + X2 + X3, X3 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__U11(1 + mark(X49), X2, X3) :|: X49 >= 0, X3 >= 0, z = 1 + (1 + X49) + X2 + X3, X2 >= 0 mark(z) -{ 1 }-> 1 :|: z = 1 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + mark(z - 1) :|: z - 1 >= 0 ---------------------------------------- (21) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT ---------------------------------------- (22) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U11(z0, z1, z2) -> c1 A__U12(tt, z0, z1) -> c2(A__PLUS(mark(z1), mark(z0)), MARK(z1)) A__U12(tt, z0, z1) -> c3(A__PLUS(mark(z1), mark(z0)), MARK(z0)) A__U12(z0, z1, z2) -> c4 A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U21(z0, z1, z2) -> c6 A__U22(tt, z0, z1) -> c7(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__U22(z0, z1, z2) -> c10 A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__PLUS(z0, z1) -> c13 A__X(z0, 0) -> c14 A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) A__X(z0, z1) -> c16 MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(tt) -> c25 MARK(s(z0)) -> c26(MARK(z0)) MARK(0) -> c27 S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U11(z0, z1, z2) -> c1 A__U12(tt, z0, z1) -> c2(A__PLUS(mark(z1), mark(z0)), MARK(z1)) A__U12(tt, z0, z1) -> c3(A__PLUS(mark(z1), mark(z0)), MARK(z0)) A__U12(z0, z1, z2) -> c4 A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U21(z0, z1, z2) -> c6 A__U22(tt, z0, z1) -> c7(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__U22(z0, z1, z2) -> c10 A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__PLUS(z0, z1) -> c13 A__X(z0, 0) -> c14 A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) A__X(z0, z1) -> c16 MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(tt) -> c25 MARK(s(z0)) -> c26(MARK(z0)) MARK(0) -> c27 K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U12_3, A__U21_3, A__U22_3, A__PLUS_2, A__X_2, MARK_1 Compound Symbols: c_1, c1, c2_2, c3_2, c4, c5_1, c6, c7_3, c8_3, c9_2, c10, c11_1, c12_1, c13, c14, c15_1, c16, c17_2, c18_2, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c25, c26_1, c27 ---------------------------------------- (23) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 9 trailing nodes: A__U22(z0, z1, z2) -> c10 A__U11(z0, z1, z2) -> c1 A__X(z0, z1) -> c16 A__U21(z0, z1, z2) -> c6 A__U12(z0, z1, z2) -> c4 MARK(0) -> c27 MARK(tt) -> c25 A__X(z0, 0) -> c14 A__PLUS(z0, z1) -> c13 ---------------------------------------- (24) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U12(tt, z0, z1) -> c2(A__PLUS(mark(z1), mark(z0)), MARK(z1)) A__U12(tt, z0, z1) -> c3(A__PLUS(mark(z1), mark(z0)), MARK(z0)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c7(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U12(tt, z0, z1) -> c2(A__PLUS(mark(z1), mark(z0)), MARK(z1)) A__U12(tt, z0, z1) -> c3(A__PLUS(mark(z1), mark(z0)), MARK(z0)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c7(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U12_3, A__U21_3, A__U22_3, A__PLUS_2, A__X_2, MARK_1 Compound Symbols: c_1, c2_2, c3_2, c5_1, c7_3, c8_3, c9_2, c11_1, c12_1, c15_1, c17_2, c18_2, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1 ---------------------------------------- (25) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, z0, z1) -> c2(A__PLUS(mark(z1), mark(z0)), MARK(z1)) by A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, tt, x1) -> c2(A__PLUS(mark(x1), tt), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0)), MARK(tt)) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0)), MARK(0)) ---------------------------------------- (26) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U12(tt, z0, z1) -> c3(A__PLUS(mark(z1), mark(z0)), MARK(z0)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c7(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, tt, x1) -> c2(A__PLUS(mark(x1), tt), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0)), MARK(tt)) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0)), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U12(tt, z0, z1) -> c3(A__PLUS(mark(z1), mark(z0)), MARK(z0)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c7(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, tt, x1) -> c2(A__PLUS(mark(x1), tt), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0)), MARK(tt)) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0)), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U12_3, A__U21_3, A__U22_3, A__PLUS_2, A__X_2, MARK_1 Compound Symbols: c_1, c3_2, c5_1, c7_3, c8_3, c9_2, c11_1, c12_1, c15_1, c17_2, c18_2, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2 ---------------------------------------- (27) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (28) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U12(tt, z0, z1) -> c3(A__PLUS(mark(z1), mark(z0)), MARK(z0)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c7(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U12(tt, z0, z1) -> c3(A__PLUS(mark(z1), mark(z0)), MARK(z0)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c7(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U12_3, A__U21_3, A__U22_3, A__PLUS_2, A__X_2, MARK_1 Compound Symbols: c_1, c3_2, c5_1, c7_3, c8_3, c9_2, c11_1, c12_1, c15_1, c17_2, c18_2, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1 ---------------------------------------- (29) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, z0, z1) -> c3(A__PLUS(mark(z1), mark(z0)), MARK(z0)) by A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, tt, x1) -> c3(A__PLUS(mark(x1), tt), MARK(tt)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0), MARK(0)) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) ---------------------------------------- (30) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c7(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, tt, x1) -> c3(A__PLUS(mark(x1), tt), MARK(tt)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0), MARK(0)) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c7(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, tt, x1) -> c3(A__PLUS(mark(x1), tt), MARK(tt)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0), MARK(0)) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__U22_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3 Compound Symbols: c_1, c5_1, c7_3, c8_3, c9_2, c11_1, c12_1, c15_1, c17_2, c18_2, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2 ---------------------------------------- (31) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: A__U12(tt, tt, x1) -> c3(A__PLUS(mark(x1), tt), MARK(tt)) ---------------------------------------- (32) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c7(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0), MARK(0)) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c7(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0), MARK(0)) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__U22_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3 Compound Symbols: c_1, c5_1, c7_3, c8_3, c9_2, c11_1, c12_1, c15_1, c17_2, c18_2, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2 ---------------------------------------- (33) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (34) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c7(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c7(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__U22_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3 Compound Symbols: c_1, c5_1, c7_3, c8_3, c9_2, c11_1, c12_1, c15_1, c17_2, c18_2, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1 ---------------------------------------- (35) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U22(tt, z0, z1) -> c7(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z1)) by A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(mark(tt), mark(x0)), tt), A__X(mark(tt), mark(x0)), MARK(tt)) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(0)) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(tt)) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(0)) ---------------------------------------- (36) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(mark(tt), mark(x0)), tt), A__X(mark(tt), mark(x0)), MARK(tt)) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(0)) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(tt)) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(mark(tt), mark(x0)), tt), A__X(mark(tt), mark(x0)), MARK(tt)) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(0)) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(tt)) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__U22_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3 Compound Symbols: c_1, c5_1, c8_3, c9_2, c11_1, c12_1, c15_1, c17_2, c18_2, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3 ---------------------------------------- (37) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 5 trailing tuple parts ---------------------------------------- (38) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__U22_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3 Compound Symbols: c_1, c5_1, c8_3, c9_2, c11_1, c12_1, c15_1, c17_2, c18_2, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2 ---------------------------------------- (39) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U22(tt, z0, z1) -> c8(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), A__X(mark(z1), mark(z0)), MARK(z0)) by A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(mark(tt), mark(x0)), tt), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(tt)) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) ---------------------------------------- (40) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(mark(tt), mark(x0)), tt), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(tt)) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(mark(tt), mark(x0)), tt), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(tt)) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__U22_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3 Compound Symbols: c_1, c5_1, c9_2, c11_1, c12_1, c15_1, c17_2, c18_2, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3 ---------------------------------------- (41) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (42) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__U22_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3 Compound Symbols: c_1, c5_1, c9_2, c11_1, c12_1, c15_1, c17_2, c18_2, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2 ---------------------------------------- (43) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U22(tt, z0, z1) -> c9(A__PLUS(a__x(mark(z1), mark(z0)), mark(z1)), MARK(z1)) by A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(mark(tt), mark(x0)), tt), MARK(tt)) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0), MARK(0)) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt)), MARK(tt)) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0)), MARK(0)) ---------------------------------------- (44) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(mark(tt), mark(x0)), tt), MARK(tt)) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0), MARK(0)) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt)), MARK(tt)) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0)), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(mark(tt), mark(x0)), tt), MARK(tt)) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0), MARK(0)) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt)), MARK(tt)) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0)), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c17_2, c18_2, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2 ---------------------------------------- (45) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(mark(tt), mark(x0)), tt), MARK(tt)) ---------------------------------------- (46) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0), MARK(0)) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt)), MARK(tt)) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0)), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0), MARK(0)) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt)), MARK(tt)) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0)), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c17_2, c18_2, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2 ---------------------------------------- (47) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (48) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c17_2, c18_2, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1 ---------------------------------------- (49) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U11(z0, z1, z2)) -> c17(A__U11(mark(z0), z1, z2), MARK(z0)) by MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2), MARK(tt)) MARK(U11(s(z0), x1, x2)) -> c17(A__U11(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U11(0, x1, x2)) -> c17(A__U11(0, x1, x2), MARK(0)) ---------------------------------------- (50) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2), MARK(tt)) MARK(U11(s(z0), x1, x2)) -> c17(A__U11(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U11(0, x1, x2)) -> c17(A__U11(0, x1, x2), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2), MARK(tt)) MARK(U11(s(z0), x1, x2)) -> c17(A__U11(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U11(0, x1, x2)) -> c17(A__U11(0, x1, x2), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c18_2, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2 ---------------------------------------- (51) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: MARK(U11(0, x1, x2)) -> c17(A__U11(0, x1, x2), MARK(0)) ---------------------------------------- (52) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2), MARK(tt)) MARK(U11(s(z0), x1, x2)) -> c17(A__U11(s(mark(z0)), x1, x2), MARK(s(z0))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2), MARK(tt)) MARK(U11(s(z0), x1, x2)) -> c17(A__U11(s(mark(z0)), x1, x2), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c18_2, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2 ---------------------------------------- (53) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (54) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c18_2, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1 ---------------------------------------- (55) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U12(z0, z1, z2)) -> c18(A__U12(mark(z0), z1, z2), MARK(z0)) by MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2), MARK(tt)) MARK(U12(s(z0), x1, x2)) -> c18(A__U12(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U12(0, x1, x2)) -> c18(A__U12(0, x1, x2), MARK(0)) ---------------------------------------- (56) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2), MARK(tt)) MARK(U12(s(z0), x1, x2)) -> c18(A__U12(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U12(0, x1, x2)) -> c18(A__U12(0, x1, x2), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2), MARK(tt)) MARK(U12(s(z0), x1, x2)) -> c18(A__U12(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U12(0, x1, x2)) -> c18(A__U12(0, x1, x2), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2 ---------------------------------------- (57) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: MARK(U12(0, x1, x2)) -> c18(A__U12(0, x1, x2), MARK(0)) ---------------------------------------- (58) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2), MARK(tt)) MARK(U12(s(z0), x1, x2)) -> c18(A__U12(s(mark(z0)), x1, x2), MARK(s(z0))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2), MARK(tt)) MARK(U12(s(z0), x1, x2)) -> c18(A__U12(s(mark(z0)), x1, x2), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2 ---------------------------------------- (59) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (60) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c19_2, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (61) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(plus(z0, z1)) -> c19(A__PLUS(mark(z0), mark(z1)), MARK(z0)) by MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, tt)) -> c19(A__PLUS(mark(x0), tt), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1)), MARK(tt)) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1)), MARK(0)) ---------------------------------------- (62) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, tt)) -> c19(A__PLUS(mark(x0), tt), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1)), MARK(tt)) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1)), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, tt)) -> c19(A__PLUS(mark(x0), tt), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1)), MARK(tt)) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1)), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2 ---------------------------------------- (63) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (64) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c20_2, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1 ---------------------------------------- (65) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(plus(z0, z1)) -> c20(A__PLUS(mark(z0), mark(z1)), MARK(z1)) by MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, tt)) -> c20(A__PLUS(mark(x0), tt), MARK(tt)) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0), MARK(0)) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) ---------------------------------------- (66) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, tt)) -> c20(A__PLUS(mark(x0), tt), MARK(tt)) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0), MARK(0)) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, tt)) -> c20(A__PLUS(mark(x0), tt), MARK(tt)) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0), MARK(0)) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2 ---------------------------------------- (67) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: MARK(plus(x0, tt)) -> c20(A__PLUS(mark(x0), tt), MARK(tt)) ---------------------------------------- (68) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0), MARK(0)) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0), MARK(0)) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2 ---------------------------------------- (69) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (70) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c21_2, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1 ---------------------------------------- (71) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U21(z0, z1, z2)) -> c21(A__U21(mark(z0), z1, z2), MARK(z0)) by MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2), MARK(tt)) MARK(U21(s(z0), x1, x2)) -> c21(A__U21(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U21(0, x1, x2)) -> c21(A__U21(0, x1, x2), MARK(0)) ---------------------------------------- (72) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2), MARK(tt)) MARK(U21(s(z0), x1, x2)) -> c21(A__U21(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U21(0, x1, x2)) -> c21(A__U21(0, x1, x2), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2), MARK(tt)) MARK(U21(s(z0), x1, x2)) -> c21(A__U21(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U21(0, x1, x2)) -> c21(A__U21(0, x1, x2), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2 ---------------------------------------- (73) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: MARK(U21(0, x1, x2)) -> c21(A__U21(0, x1, x2), MARK(0)) ---------------------------------------- (74) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2), MARK(tt)) MARK(U21(s(z0), x1, x2)) -> c21(A__U21(s(mark(z0)), x1, x2), MARK(s(z0))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2), MARK(tt)) MARK(U21(s(z0), x1, x2)) -> c21(A__U21(s(mark(z0)), x1, x2), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2 ---------------------------------------- (75) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (76) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c22_2, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1 ---------------------------------------- (77) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(U22(z0, z1, z2)) -> c22(A__U22(mark(z0), z1, z2), MARK(z0)) by MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2), MARK(tt)) MARK(U22(s(z0), x1, x2)) -> c22(A__U22(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U22(0, x1, x2)) -> c22(A__U22(0, x1, x2), MARK(0)) ---------------------------------------- (78) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2), MARK(tt)) MARK(U22(s(z0), x1, x2)) -> c22(A__U22(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U22(0, x1, x2)) -> c22(A__U22(0, x1, x2), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2), MARK(tt)) MARK(U22(s(z0), x1, x2)) -> c22(A__U22(s(mark(z0)), x1, x2), MARK(s(z0))) MARK(U22(0, x1, x2)) -> c22(A__U22(0, x1, x2), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2 ---------------------------------------- (79) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: MARK(U22(0, x1, x2)) -> c22(A__U22(0, x1, x2), MARK(0)) ---------------------------------------- (80) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2), MARK(tt)) MARK(U22(s(z0), x1, x2)) -> c22(A__U22(s(mark(z0)), x1, x2), MARK(s(z0))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2), MARK(tt)) MARK(U22(s(z0), x1, x2)) -> c22(A__U22(s(mark(z0)), x1, x2), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2 ---------------------------------------- (81) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (82) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c23_2, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1 ---------------------------------------- (83) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(x(z0, z1)) -> c23(A__X(mark(z0), mark(z1)), MARK(z0)) by MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, tt)) -> c23(A__X(mark(x0), tt), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(x0, 0)) -> c23(A__X(mark(x0), 0), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1)), MARK(tt)) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1)), MARK(0)) ---------------------------------------- (84) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, tt)) -> c23(A__X(mark(x0), tt), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(x0, 0)) -> c23(A__X(mark(x0), 0), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1)), MARK(tt)) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1)), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, tt)) -> c23(A__X(mark(x0), tt), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(x0, 0)) -> c23(A__X(mark(x0), 0), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1)), MARK(tt)) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1)), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2 ---------------------------------------- (85) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (86) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c24_2, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1 ---------------------------------------- (87) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(x(z0, z1)) -> c24(A__X(mark(z0), mark(z1)), MARK(z1)) by MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, tt)) -> c24(A__X(mark(x0), tt), MARK(tt)) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(x0, 0)) -> c24(A__X(mark(x0), 0), MARK(0)) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) ---------------------------------------- (88) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, tt)) -> c24(A__X(mark(x0), tt), MARK(tt)) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(x0, 0)) -> c24(A__X(mark(x0), 0), MARK(0)) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, tt)) -> c24(A__X(mark(x0), tt), MARK(tt)) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(x0, 0)) -> c24(A__X(mark(x0), 0), MARK(0)) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (89) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(x(x0, tt)) -> c24(A__X(mark(x0), tt), MARK(tt)) MARK(x(x0, 0)) -> c24(A__X(mark(x0), 0), MARK(0)) ---------------------------------------- (90) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (91) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, U11(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(x1)) by A__U12(tt, U11(x0, z1, z2), x3) -> c2(A__PLUS(mark(x3), U11(mark(x0), z1, z2)), MARK(x3)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(tt)) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(0)) ---------------------------------------- (92) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(x0, z1, z2), x3) -> c2(A__PLUS(mark(x3), U11(mark(x0), z1, z2)), MARK(x3)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(tt)) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(x0, z1, z2), x3) -> c2(A__PLUS(mark(x3), U11(mark(x0), z1, z2)), MARK(x3)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(tt)) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (93) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (94) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (95) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, U12(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(x1)) by A__U12(tt, U12(x0, z1, z2), x3) -> c2(A__PLUS(mark(x3), U12(mark(x0), z1, z2)), MARK(x3)) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(tt)) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(0)) ---------------------------------------- (96) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(A__PLUS(mark(x3), U12(mark(x0), z1, z2)), MARK(x3)) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(tt)) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(A__PLUS(mark(x3), U12(mark(x0), z1, z2)), MARK(x3)) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(tt)) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (97) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (98) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (99) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, plus(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(x1)) by A__U12(tt, plus(x0, x1), x2) -> c2(A__PLUS(mark(x2), plus(mark(x0), mark(x1))), MARK(x2)) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(tt)) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(0)) ---------------------------------------- (100) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, x1), x2) -> c2(A__PLUS(mark(x2), plus(mark(x0), mark(x1))), MARK(x2)) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(tt)) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, x1), x2) -> c2(A__PLUS(mark(x2), plus(mark(x0), mark(x1))), MARK(x2)) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(tt)) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (101) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (102) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (103) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, U21(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(x1)) by A__U12(tt, U21(x0, z1, z2), x3) -> c2(A__PLUS(mark(x3), U21(mark(x0), z1, z2)), MARK(x3)) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(tt)) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(0)) ---------------------------------------- (104) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(A__PLUS(mark(x3), U21(mark(x0), z1, z2)), MARK(x3)) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(tt)) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(A__PLUS(mark(x3), U21(mark(x0), z1, z2)), MARK(x3)) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(tt)) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (105) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (106) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (107) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, U22(z0, z1, z2), x1) -> c2(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(x1)) by A__U12(tt, U22(x0, z1, z2), x3) -> c2(A__PLUS(mark(x3), U22(mark(x0), z1, z2)), MARK(x3)) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(tt)) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(0)) ---------------------------------------- (108) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(A__PLUS(mark(x3), U22(mark(x0), z1, z2)), MARK(x3)) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(tt)) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(A__PLUS(mark(x3), U22(mark(x0), z1, z2)), MARK(x3)) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(tt)) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (109) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (110) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (111) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x(z0, z1), x1) -> c2(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x1)) by A__U12(tt, x(x0, x1), x2) -> c2(A__PLUS(mark(x2), x(mark(x0), mark(x1))), MARK(x2)) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(tt)) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(0)) ---------------------------------------- (112) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, x1), x2) -> c2(A__PLUS(mark(x2), x(mark(x0), mark(x1))), MARK(x2)) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(tt)) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, x1), x2) -> c2(A__PLUS(mark(x2), x(mark(x0), mark(x1))), MARK(x2)) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(tt)) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (113) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (114) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (115) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x0, U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(U11(z0, z1, z2))) by A__U12(tt, U11(z0, z1, z2), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), a__U11(mark(z0), z1, z2)), MARK(U11(x1, x2, x3))) A__U12(tt, U12(z0, z1, z2), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), a__U12(mark(z0), z1, z2)), MARK(U11(x1, x2, x3))) A__U12(tt, plus(z0, z1), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), a__plus(mark(z0), mark(z1))), MARK(U11(x1, x2, x3))) A__U12(tt, U21(z0, z1, z2), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), a__U21(mark(z0), z1, z2)), MARK(U11(x1, x2, x3))) A__U12(tt, U22(z0, z1, z2), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), a__U22(mark(z0), z1, z2)), MARK(U11(x1, x2, x3))) A__U12(tt, x(z0, z1), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), a__x(mark(z0), mark(z1))), MARK(U11(x1, x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), tt), MARK(U11(x1, x2, x3))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(U11(0, x2, x3))) ---------------------------------------- (116) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), tt), MARK(U11(x1, x2, x3))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(U11(0, x2, x3))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), tt), MARK(U11(x1, x2, x3))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(U11(0, x2, x3))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (117) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (118) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (119) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x0, U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(U12(z0, z1, z2))) by A__U12(tt, U11(z0, z1, z2), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), a__U11(mark(z0), z1, z2)), MARK(U12(x1, x2, x3))) A__U12(tt, U12(z0, z1, z2), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), a__U12(mark(z0), z1, z2)), MARK(U12(x1, x2, x3))) A__U12(tt, plus(z0, z1), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), a__plus(mark(z0), mark(z1))), MARK(U12(x1, x2, x3))) A__U12(tt, U21(z0, z1, z2), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), a__U21(mark(z0), z1, z2)), MARK(U12(x1, x2, x3))) A__U12(tt, U22(z0, z1, z2), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), a__U22(mark(z0), z1, z2)), MARK(U12(x1, x2, x3))) A__U12(tt, x(z0, z1), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), a__x(mark(z0), mark(z1))), MARK(U12(x1, x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), tt), MARK(U12(x1, x2, x3))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(U12(0, x2, x3))) ---------------------------------------- (120) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), tt), MARK(U12(x1, x2, x3))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(U12(0, x2, x3))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), tt), MARK(U12(x1, x2, x3))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(U12(0, x2, x3))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (121) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (122) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (123) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x0, plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(plus(z0, z1))) by A__U12(tt, U11(z0, z1, z2), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), a__U11(mark(z0), z1, z2)), MARK(plus(x1, x2))) A__U12(tt, U12(z0, z1, z2), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), a__U12(mark(z0), z1, z2)), MARK(plus(x1, x2))) A__U12(tt, plus(z0, z1), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), a__plus(mark(z0), mark(z1))), MARK(plus(x1, x2))) A__U12(tt, U21(z0, z1, z2), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), a__U21(mark(z0), z1, z2)), MARK(plus(x1, x2))) A__U12(tt, U22(z0, z1, z2), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), a__U22(mark(z0), z1, z2)), MARK(plus(x1, x2))) A__U12(tt, x(z0, z1), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), a__x(mark(z0), mark(z1))), MARK(plus(x1, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), tt), MARK(plus(x1, x2))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) ---------------------------------------- (124) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, tt, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), tt), MARK(plus(x1, x2))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, tt, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), tt), MARK(plus(x1, x2))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (125) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (126) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (127) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x0, U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(U21(z0, z1, z2))) by A__U12(tt, U11(z0, z1, z2), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), a__U11(mark(z0), z1, z2)), MARK(U21(x1, x2, x3))) A__U12(tt, U12(z0, z1, z2), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), a__U12(mark(z0), z1, z2)), MARK(U21(x1, x2, x3))) A__U12(tt, plus(z0, z1), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), a__plus(mark(z0), mark(z1))), MARK(U21(x1, x2, x3))) A__U12(tt, U21(z0, z1, z2), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), a__U21(mark(z0), z1, z2)), MARK(U21(x1, x2, x3))) A__U12(tt, U22(z0, z1, z2), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), a__U22(mark(z0), z1, z2)), MARK(U21(x1, x2, x3))) A__U12(tt, x(z0, z1), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), a__x(mark(z0), mark(z1))), MARK(U21(x1, x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), tt), MARK(U21(x1, x2, x3))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(U21(0, x2, x3))) ---------------------------------------- (128) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), tt), MARK(U21(x1, x2, x3))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(U21(0, x2, x3))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), tt), MARK(U21(x1, x2, x3))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(U21(0, x2, x3))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (129) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (130) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (131) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x0, U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(U22(z0, z1, z2))) by A__U12(tt, U11(z0, z1, z2), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), a__U11(mark(z0), z1, z2)), MARK(U22(x1, x2, x3))) A__U12(tt, U12(z0, z1, z2), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), a__U12(mark(z0), z1, z2)), MARK(U22(x1, x2, x3))) A__U12(tt, plus(z0, z1), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), a__plus(mark(z0), mark(z1))), MARK(U22(x1, x2, x3))) A__U12(tt, U21(z0, z1, z2), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), a__U21(mark(z0), z1, z2)), MARK(U22(x1, x2, x3))) A__U12(tt, U22(z0, z1, z2), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), a__U22(mark(z0), z1, z2)), MARK(U22(x1, x2, x3))) A__U12(tt, x(z0, z1), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), a__x(mark(z0), mark(z1))), MARK(U22(x1, x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), tt), MARK(U22(x1, x2, x3))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(U22(0, x2, x3))) ---------------------------------------- (132) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), tt), MARK(U22(x1, x2, x3))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(U22(0, x2, x3))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), tt), MARK(U22(x1, x2, x3))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(U22(0, x2, x3))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (133) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (134) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (135) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x0, x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x(z0, z1))) by A__U12(tt, U11(z0, z1, z2), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), a__U11(mark(z0), z1, z2)), MARK(x(x1, x2))) A__U12(tt, U12(z0, z1, z2), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), a__U12(mark(z0), z1, z2)), MARK(x(x1, x2))) A__U12(tt, plus(z0, z1), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), a__plus(mark(z0), mark(z1))), MARK(x(x1, x2))) A__U12(tt, U21(z0, z1, z2), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), a__U21(mark(z0), z1, z2)), MARK(x(x1, x2))) A__U12(tt, U22(z0, z1, z2), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), a__U22(mark(z0), z1, z2)), MARK(x(x1, x2))) A__U12(tt, x(z0, z1), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), a__x(mark(z0), mark(z1))), MARK(x(x1, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), tt), MARK(x(x1, x2))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) ---------------------------------------- (136) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, tt, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), tt), MARK(x(x1, x2))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, tt, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), tt), MARK(x(x1, x2))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (137) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (138) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (139) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x0, s(z0)) -> c2(A__PLUS(s(mark(z0)), mark(x0)), MARK(s(z0))) by A__U12(tt, U11(z0, z1, z2), s(x1)) -> c2(A__PLUS(s(mark(x1)), a__U11(mark(z0), z1, z2)), MARK(s(x1))) A__U12(tt, U12(z0, z1, z2), s(x1)) -> c2(A__PLUS(s(mark(x1)), a__U12(mark(z0), z1, z2)), MARK(s(x1))) A__U12(tt, plus(z0, z1), s(x1)) -> c2(A__PLUS(s(mark(x1)), a__plus(mark(z0), mark(z1))), MARK(s(x1))) A__U12(tt, U21(z0, z1, z2), s(x1)) -> c2(A__PLUS(s(mark(x1)), a__U21(mark(z0), z1, z2)), MARK(s(x1))) A__U12(tt, U22(z0, z1, z2), s(x1)) -> c2(A__PLUS(s(mark(x1)), a__U22(mark(z0), z1, z2)), MARK(s(x1))) A__U12(tt, x(z0, z1), s(x1)) -> c2(A__PLUS(s(mark(x1)), a__x(mark(z0), mark(z1))), MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(A__PLUS(s(mark(x1)), tt), MARK(s(x1))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) ---------------------------------------- (140) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, tt, s(x1)) -> c2(A__PLUS(s(mark(x1)), tt), MARK(s(x1))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, tt, s(x1)) -> c2(A__PLUS(s(mark(x1)), tt), MARK(s(x1))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (141) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (142) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (143) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x0, tt) -> c2(A__PLUS(tt, mark(x0))) by A__U12(tt, U11(z0, z1, z2), tt) -> c2(A__PLUS(tt, a__U11(mark(z0), z1, z2))) A__U12(tt, U12(z0, z1, z2), tt) -> c2(A__PLUS(tt, a__U12(mark(z0), z1, z2))) A__U12(tt, plus(z0, z1), tt) -> c2(A__PLUS(tt, a__plus(mark(z0), mark(z1)))) A__U12(tt, U21(z0, z1, z2), tt) -> c2(A__PLUS(tt, a__U21(mark(z0), z1, z2))) A__U12(tt, U22(z0, z1, z2), tt) -> c2(A__PLUS(tt, a__U22(mark(z0), z1, z2))) A__U12(tt, x(z0, z1), tt) -> c2(A__PLUS(tt, a__x(mark(z0), mark(z1)))) A__U12(tt, tt, tt) -> c2(A__PLUS(tt, tt)) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) ---------------------------------------- (144) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, tt) -> c2(A__PLUS(tt, tt)) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, tt) -> c2(A__PLUS(tt, tt)) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (145) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: A__U12(tt, tt, tt) -> c2(A__PLUS(tt, tt)) ---------------------------------------- (146) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (147) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x0, 0) -> c2(A__PLUS(0, mark(x0))) by A__U12(tt, U11(z0, z1, z2), 0) -> c2(A__PLUS(0, a__U11(mark(z0), z1, z2))) A__U12(tt, U12(z0, z1, z2), 0) -> c2(A__PLUS(0, a__U12(mark(z0), z1, z2))) A__U12(tt, plus(z0, z1), 0) -> c2(A__PLUS(0, a__plus(mark(z0), mark(z1)))) A__U12(tt, U21(z0, z1, z2), 0) -> c2(A__PLUS(0, a__U21(mark(z0), z1, z2))) A__U12(tt, U22(z0, z1, z2), 0) -> c2(A__PLUS(0, a__U22(mark(z0), z1, z2))) A__U12(tt, x(z0, z1), 0) -> c2(A__PLUS(0, a__x(mark(z0), mark(z1)))) A__U12(tt, tt, 0) -> c2(A__PLUS(0, tt)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) ---------------------------------------- (148) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, tt, 0) -> c2(A__PLUS(0, tt)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, tt, 0) -> c2(A__PLUS(0, tt)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (149) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: A__U12(tt, tt, 0) -> c2(A__PLUS(0, tt)) ---------------------------------------- (150) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (151) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, U11(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) by A__U12(tt, U11(x0, z1, z2), x3) -> c3(A__PLUS(mark(x3), U11(mark(x0), z1, z2)), MARK(U11(x0, z1, z2))) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(U11(0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) ---------------------------------------- (152) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(x0, z1, z2), x3) -> c3(A__PLUS(mark(x3), U11(mark(x0), z1, z2)), MARK(U11(x0, z1, z2))) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(U11(0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(x0, z1, z2), x3) -> c3(A__PLUS(mark(x3), U11(mark(x0), z1, z2)), MARK(U11(x0, z1, z2))) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(U11(0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (153) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (154) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (155) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, U12(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) by A__U12(tt, U12(x0, z1, z2), x3) -> c3(A__PLUS(mark(x3), U12(mark(x0), z1, z2)), MARK(U12(x0, z1, z2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(U12(0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) ---------------------------------------- (156) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(A__PLUS(mark(x3), U12(mark(x0), z1, z2)), MARK(U12(x0, z1, z2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(U12(0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(A__PLUS(mark(x3), U12(mark(x0), z1, z2)), MARK(U12(x0, z1, z2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(U12(0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (157) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (158) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (159) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, plus(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) by A__U12(tt, plus(x0, x1), x2) -> c3(A__PLUS(mark(x2), plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) ---------------------------------------- (160) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, x1), x2) -> c3(A__PLUS(mark(x2), plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, x1), x2) -> c3(A__PLUS(mark(x2), plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (161) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (162) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (163) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, U21(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) by A__U12(tt, U21(x0, z1, z2), x3) -> c3(A__PLUS(mark(x3), U21(mark(x0), z1, z2)), MARK(U21(x0, z1, z2))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(U21(0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) ---------------------------------------- (164) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(A__PLUS(mark(x3), U21(mark(x0), z1, z2)), MARK(U21(x0, z1, z2))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(U21(0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(A__PLUS(mark(x3), U21(mark(x0), z1, z2)), MARK(U21(x0, z1, z2))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(U21(0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (165) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (166) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (167) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, U22(z0, z1, z2), x1) -> c3(A__PLUS(mark(x1), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) by A__U12(tt, U22(x0, z1, z2), x3) -> c3(A__PLUS(mark(x3), U22(mark(x0), z1, z2)), MARK(U22(x0, z1, z2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(U22(0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) ---------------------------------------- (168) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(A__PLUS(mark(x3), U22(mark(x0), z1, z2)), MARK(U22(x0, z1, z2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(U22(0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(A__PLUS(mark(x3), U22(mark(x0), z1, z2)), MARK(U22(x0, z1, z2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(U22(0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (169) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (170) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (171) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x(z0, z1), x1) -> c3(A__PLUS(mark(x1), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) by A__U12(tt, x(x0, x1), x2) -> c3(A__PLUS(mark(x2), x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) ---------------------------------------- (172) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, x1), x2) -> c3(A__PLUS(mark(x2), x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, x1), x2) -> c3(A__PLUS(mark(x2), x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (173) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (174) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (175) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x0, U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), mark(x0)), MARK(x0)) by A__U12(tt, U11(z0, z1, z2), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, tt, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), tt), MARK(tt)) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) ---------------------------------------- (176) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, tt, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), tt), MARK(tt)) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, tt, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), tt), MARK(tt)) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (177) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: A__U12(tt, tt, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), tt), MARK(tt)) ---------------------------------------- (178) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (179) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (180) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (181) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x0, U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), mark(x0)), MARK(x0)) by A__U12(tt, U11(z0, z1, z2), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, tt, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), tt), MARK(tt)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) ---------------------------------------- (182) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, tt, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), tt), MARK(tt)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, tt, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), tt), MARK(tt)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (183) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: A__U12(tt, tt, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), tt), MARK(tt)) ---------------------------------------- (184) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (185) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (186) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (187) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x0, plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x0)), MARK(x0)) by A__U12(tt, U11(z0, z1, z2), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, tt, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), tt), MARK(tt)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(0)) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) ---------------------------------------- (188) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, tt, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), tt), MARK(tt)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(0)) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, tt, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), tt), MARK(tt)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(0)) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (189) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: A__U12(tt, tt, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), tt), MARK(tt)) ---------------------------------------- (190) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(0)) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(0)) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (191) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (192) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (193) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x0, U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), mark(x0)), MARK(x0)) by A__U12(tt, U11(z0, z1, z2), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, tt, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), tt), MARK(tt)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) ---------------------------------------- (194) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, tt, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), tt), MARK(tt)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, tt, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), tt), MARK(tt)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (195) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: A__U12(tt, tt, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), tt), MARK(tt)) ---------------------------------------- (196) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (197) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (198) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (199) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x0, U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), mark(x0)), MARK(x0)) by A__U12(tt, U11(z0, z1, z2), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, tt, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), tt), MARK(tt)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) ---------------------------------------- (200) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, tt, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), tt), MARK(tt)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, tt, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), tt), MARK(tt)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (201) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: A__U12(tt, tt, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), tt), MARK(tt)) ---------------------------------------- (202) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(0)) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (203) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (204) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (205) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x0, x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), mark(x0)), MARK(x0)) by A__U12(tt, U11(z0, z1, z2), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, tt, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), tt), MARK(tt)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(0)) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) ---------------------------------------- (206) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, tt, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), tt), MARK(tt)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(0)) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, tt, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), tt), MARK(tt)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(0)) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (207) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: A__U12(tt, tt, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), tt), MARK(tt)) ---------------------------------------- (208) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(0)) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(0)) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (209) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (210) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (211) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x0, tt) -> c3(A__PLUS(tt, mark(x0)), MARK(x0)) by A__U12(tt, U11(z0, z1, z2), tt) -> c3(A__PLUS(tt, a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), tt) -> c3(A__PLUS(tt, a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), tt) -> c3(A__PLUS(tt, a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), tt) -> c3(A__PLUS(tt, a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), tt) -> c3(A__PLUS(tt, a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), tt) -> c3(A__PLUS(tt, a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, tt, tt) -> c3(A__PLUS(tt, tt), MARK(tt)) A__U12(tt, s(z0), tt) -> c3(A__PLUS(tt, s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, tt) -> c3(A__PLUS(tt, 0), MARK(0)) ---------------------------------------- (212) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0)) A__U12(tt, tt, tt) -> c3(A__PLUS(tt, tt), MARK(tt)) A__U12(tt, s(z0), tt) -> c3(A__PLUS(tt, s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, tt) -> c3(A__PLUS(tt, 0), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0)) A__U12(tt, tt, tt) -> c3(A__PLUS(tt, tt), MARK(tt)) A__U12(tt, s(z0), tt) -> c3(A__PLUS(tt, s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, tt) -> c3(A__PLUS(tt, 0), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (213) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: A__U12(tt, tt, tt) -> c3(A__PLUS(tt, tt), MARK(tt)) ---------------------------------------- (214) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), tt) -> c3(A__PLUS(tt, s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, tt) -> c3(A__PLUS(tt, 0), MARK(0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), tt) -> c3(A__PLUS(tt, s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, tt) -> c3(A__PLUS(tt, 0), MARK(0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (215) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (216) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), tt) -> c3(A__PLUS(tt, s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, tt) -> c3(A__PLUS(tt, 0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), tt) -> c3(A__PLUS(tt, s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, tt) -> c3(A__PLUS(tt, 0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (217) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__U12(tt, x0, s(z0)) -> c3(A__PLUS(s(mark(z0)), mark(x0)), MARK(x0)) by A__U12(tt, U11(z0, z1, z2), s(x1)) -> c3(A__PLUS(s(mark(x1)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(z0, z1, z2), s(x1)) -> c3(A__PLUS(s(mark(x1)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U12(tt, plus(z0, z1), s(x1)) -> c3(A__PLUS(s(mark(x1)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U12(tt, U21(z0, z1, z2), s(x1)) -> c3(A__PLUS(s(mark(x1)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(z0, z1, z2), s(x1)) -> c3(A__PLUS(s(mark(x1)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U12(tt, x(z0, z1), s(x1)) -> c3(A__PLUS(s(mark(x1)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U12(tt, tt, s(x1)) -> c3(A__PLUS(s(mark(x1)), tt), MARK(tt)) A__U12(tt, s(z0), s(x1)) -> c3(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, s(x1)) -> c3(A__PLUS(s(mark(x1)), 0), MARK(0)) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c3(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c3(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(plus(z0, z1))) -> c3(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c3(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c3(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(x(z0, z1))) -> c3(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(tt)) -> c3(A__PLUS(s(tt), mark(x0)), MARK(x0)) A__U12(tt, x0, s(s(z0))) -> c3(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(0)) -> c3(A__PLUS(s(0), mark(x0)), MARK(x0)) ---------------------------------------- (218) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), tt) -> c3(A__PLUS(tt, s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, tt) -> c3(A__PLUS(tt, 0)) A__U12(tt, tt, s(x1)) -> c3(A__PLUS(s(mark(x1)), tt), MARK(tt)) A__U12(tt, s(z0), s(x1)) -> c3(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, s(x1)) -> c3(A__PLUS(s(mark(x1)), 0), MARK(0)) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c3(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c3(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(plus(z0, z1))) -> c3(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c3(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c3(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(x(z0, z1))) -> c3(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(tt)) -> c3(A__PLUS(s(tt), mark(x0)), MARK(x0)) A__U12(tt, x0, s(s(z0))) -> c3(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(0)) -> c3(A__PLUS(s(0), mark(x0)), MARK(x0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), tt) -> c3(A__PLUS(tt, s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, tt) -> c3(A__PLUS(tt, 0)) A__U12(tt, tt, s(x1)) -> c3(A__PLUS(s(mark(x1)), tt), MARK(tt)) A__U12(tt, s(z0), s(x1)) -> c3(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, s(x1)) -> c3(A__PLUS(s(mark(x1)), 0), MARK(0)) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c3(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c3(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(plus(z0, z1))) -> c3(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c3(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c3(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(x(z0, z1))) -> c3(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(tt)) -> c3(A__PLUS(s(tt), mark(x0)), MARK(x0)) A__U12(tt, x0, s(s(z0))) -> c3(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(0)) -> c3(A__PLUS(s(0), mark(x0)), MARK(x0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (219) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing nodes: A__U12(tt, tt, s(x1)) -> c3(A__PLUS(s(mark(x1)), tt), MARK(tt)) ---------------------------------------- (220) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), tt) -> c3(A__PLUS(tt, s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, tt) -> c3(A__PLUS(tt, 0)) A__U12(tt, s(z0), s(x1)) -> c3(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, s(x1)) -> c3(A__PLUS(s(mark(x1)), 0), MARK(0)) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c3(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c3(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(plus(z0, z1))) -> c3(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c3(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c3(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(x(z0, z1))) -> c3(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(tt)) -> c3(A__PLUS(s(tt), mark(x0)), MARK(x0)) A__U12(tt, x0, s(s(z0))) -> c3(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(0)) -> c3(A__PLUS(s(0), mark(x0)), MARK(x0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), tt) -> c3(A__PLUS(tt, s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, tt) -> c3(A__PLUS(tt, 0)) A__U12(tt, s(z0), s(x1)) -> c3(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, s(x1)) -> c3(A__PLUS(s(mark(x1)), 0), MARK(0)) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c3(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c3(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(plus(z0, z1))) -> c3(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c3(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c3(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(x(z0, z1))) -> c3(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(tt)) -> c3(A__PLUS(s(tt), mark(x0)), MARK(x0)) A__U12(tt, x0, s(s(z0))) -> c3(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(0)) -> c3(A__PLUS(s(0), mark(x0)), MARK(x0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2 ---------------------------------------- (221) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 1 trailing tuple parts ---------------------------------------- (222) Obligation: Complexity Dependency Tuples Problem Rules: a__U11(tt, z0, z1) -> a__U12(tt, z0, z1) a__U11(z0, z1, z2) -> U11(z0, z1, z2) a__U12(tt, z0, z1) -> s(a__plus(mark(z1), mark(z0))) a__U12(z0, z1, z2) -> U12(z0, z1, z2) a__U21(tt, z0, z1) -> a__U22(tt, z0, z1) a__U21(z0, z1, z2) -> U21(z0, z1, z2) a__U22(tt, z0, z1) -> a__plus(a__x(mark(z1), mark(z0)), mark(z1)) a__U22(z0, z1, z2) -> U22(z0, z1, z2) a__plus(z0, 0) -> mark(z0) a__plus(z0, s(z1)) -> a__U11(tt, z1, z0) a__plus(z0, z1) -> plus(z0, z1) a__x(z0, 0) -> 0 a__x(z0, s(z1)) -> a__U21(tt, z1, z0) a__x(z0, z1) -> x(z0, z1) mark(U11(z0, z1, z2)) -> a__U11(mark(z0), z1, z2) mark(U12(z0, z1, z2)) -> a__U12(mark(z0), z1, z2) mark(plus(z0, z1)) -> a__plus(mark(z0), mark(z1)) mark(U21(z0, z1, z2)) -> a__U21(mark(z0), z1, z2) mark(U22(z0, z1, z2)) -> a__U22(mark(z0), z1, z2) mark(x(z0, z1)) -> a__x(mark(z0), mark(z1)) mark(tt) -> tt mark(s(z0)) -> s(mark(z0)) mark(0) -> 0 Tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), tt) -> c3(A__PLUS(tt, s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, tt) -> c3(A__PLUS(tt, 0)) A__U12(tt, s(z0), s(x1)) -> c3(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c3(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c3(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(plus(z0, z1))) -> c3(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c3(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c3(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(x(z0, z1))) -> c3(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(tt)) -> c3(A__PLUS(s(tt), mark(x0)), MARK(x0)) A__U12(tt, x0, s(s(z0))) -> c3(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(0)) -> c3(A__PLUS(s(0), mark(x0)), MARK(x0)) A__U12(tt, 0, s(x1)) -> c3(A__PLUS(s(mark(x1)), 0)) S tuples: A__U11(tt, z0, z1) -> c(A__U12(tt, z0, z1)) A__U21(tt, z0, z1) -> c5(A__U22(tt, z0, z1)) A__PLUS(z0, 0) -> c11(MARK(z0)) A__PLUS(z0, s(z1)) -> c12(A__U11(tt, z1, z0)) A__X(z0, s(z1)) -> c15(A__U21(tt, z1, z0)) MARK(s(z0)) -> c26(MARK(z0)) A__U12(tt, s(z0), x1) -> c2(A__PLUS(mark(x1), s(mark(z0))), MARK(x1)) A__U12(tt, 0, x1) -> c2(A__PLUS(mark(x1), 0), MARK(x1)) A__U12(tt, tt, x1) -> c2(MARK(x1)) A__U12(tt, s(z0), x1) -> c3(A__PLUS(mark(x1), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, 0) -> c3(A__PLUS(0, mark(x0)), MARK(x0)) A__U12(tt, 0, x1) -> c3(A__PLUS(mark(x1), 0)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, x1) -> c7(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c7(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c7(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x1)) A__U22(tt, tt, x1) -> c7(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt)), MARK(x1)) A__U22(tt, s(z0), x1) -> c7(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(x1)) A__U22(tt, 0, x1) -> c7(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c7(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c7(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c7(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c7(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(s(z0))) A__U22(tt, x0, tt) -> c7(A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0))) A__U22(tt, x0, tt) -> c7(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0))) A__U22(tt, x0, 0) -> c7(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(mark(0), mark(x0)), 0), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, x1) -> c8(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), A__X(mark(x1), mark(x0)), MARK(x0)) A__U22(tt, U11(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, U12(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, plus(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, U21(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, U22(z0, z1, z2), x1) -> c8(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), A__X(mark(x1), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x(z0, z1), x1) -> c8(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), A__X(mark(x1), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, s(z0), x1) -> c8(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), A__X(mark(x1), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), A__X(mark(U11(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U12(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), A__X(mark(U12(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, plus(z0, z1)) -> c8(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), A__X(mark(plus(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, U21(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), A__X(mark(U21(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, U22(z0, z1, z2)) -> c8(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), A__X(mark(U22(z0, z1, z2)), mark(x0)), MARK(x0)) A__U22(tt, x0, x(z0, z1)) -> c8(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), A__X(mark(x(z0, z1)), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__PLUS(a__x(tt, mark(x0)), mark(tt)), A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, x0, s(z0)) -> c8(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), A__X(mark(s(z0)), mark(x0)), MARK(x0)) A__U22(tt, x0, 0) -> c8(A__PLUS(a__x(0, mark(x0)), mark(0)), A__X(mark(0), mark(x0)), MARK(x0)) A__U22(tt, x0, tt) -> c8(A__X(mark(tt), mark(x0)), MARK(x0)) A__U22(tt, tt, x1) -> c8(A__PLUS(a__x(mark(x1), tt), mark(x1)), A__X(mark(x1), mark(tt))) A__U22(tt, 0, x1) -> c8(A__PLUS(a__x(mark(x1), 0), mark(x1)), A__X(mark(x1), mark(0))) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U11(z0, z1, z2)), mark(x0)), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U12(z0, z1, z2)), mark(x0)), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(mark(plus(z0, z1)), mark(x0)), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U21(z0, z1, z2)), mark(x0)), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(mark(U22(z0, z1, z2)), mark(x0)), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(mark(x(z0, z1)), mark(x0)), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(mark(s(z0)), mark(x0)), s(mark(z0))), MARK(s(z0))) A__U22(tt, x0, x1) -> c9(A__PLUS(x(mark(x1), mark(x0)), mark(x1)), MARK(x1)) A__U22(tt, U11(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U12(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, plus(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, U21(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, U22(z0, z1, z2), x1) -> c9(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x1)), MARK(x1)) A__U22(tt, x(z0, z1), x1) -> c9(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x1)), MARK(x1)) A__U22(tt, tt, x1) -> c9(A__PLUS(a__x(mark(x1), tt), mark(x1)), MARK(x1)) A__U22(tt, s(z0), x1) -> c9(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x1)), MARK(x1)) A__U22(tt, 0, x1) -> c9(A__PLUS(a__x(mark(x1), 0), mark(x1)), MARK(x1)) A__U22(tt, x0, U11(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x0)), mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2))) A__U22(tt, x0, U12(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x0)), mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2))) A__U22(tt, x0, plus(z0, z1)) -> c9(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x0)), mark(plus(z0, z1))), MARK(plus(z0, z1))) A__U22(tt, x0, U21(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x0)), mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2))) A__U22(tt, x0, U22(z0, z1, z2)) -> c9(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x0)), mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2))) A__U22(tt, x0, x(z0, z1)) -> c9(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x0)), mark(x(z0, z1))), MARK(x(z0, z1))) A__U22(tt, x0, s(z0)) -> c9(A__PLUS(a__x(s(mark(z0)), mark(x0)), mark(s(z0))), MARK(s(z0))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(mark(0), mark(x0)), 0)) A__U22(tt, x0, tt) -> c9(A__PLUS(a__x(tt, mark(x0)), mark(tt))) A__U22(tt, x0, 0) -> c9(A__PLUS(a__x(0, mark(x0)), mark(0))) MARK(U11(U11(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U11(U12(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U11(plus(z0, z1), x1, x2)) -> c17(A__U11(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U11(U21(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U11(U22(z0, z1, z2), x1, x2)) -> c17(A__U11(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U11(x(z0, z1), x1, x2)) -> c17(A__U11(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U11(tt, x1, x2)) -> c17(A__U11(tt, x1, x2)) MARK(U11(s(z0), x1, x2)) -> c17(MARK(s(z0))) MARK(U12(U11(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U12(U12(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U12(plus(z0, z1), x1, x2)) -> c18(A__U12(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U12(U21(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U12(U22(z0, z1, z2), x1, x2)) -> c18(A__U12(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U12(x(z0, z1), x1, x2)) -> c18(A__U12(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U12(tt, x1, x2)) -> c18(A__U12(tt, x1, x2)) MARK(U12(s(z0), x1, x2)) -> c18(MARK(s(z0))) MARK(plus(x0, U11(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U12(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, plus(z0, z1))) -> c19(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, U21(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, U22(z0, z1, z2))) -> c19(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(plus(x0, x(z0, z1))) -> c19(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(plus(x0, s(z0))) -> c19(A__PLUS(mark(x0), s(mark(z0))), MARK(x0)) MARK(plus(x0, 0)) -> c19(A__PLUS(mark(x0), 0), MARK(x0)) MARK(plus(U11(z0, z1, z2), x1)) -> c19(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(plus(U12(z0, z1, z2), x1)) -> c19(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(plus(plus(z0, z1), x1)) -> c19(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(plus(U21(z0, z1, z2), x1)) -> c19(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(plus(U22(z0, z1, z2), x1)) -> c19(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(plus(x(z0, z1), x1)) -> c19(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(plus(s(z0), x1)) -> c19(A__PLUS(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(plus(x0, tt)) -> c19(MARK(x0)) MARK(plus(tt, x1)) -> c19(A__PLUS(tt, mark(x1))) MARK(plus(0, x1)) -> c19(A__PLUS(0, mark(x1))) MARK(plus(x0, U11(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(plus(x0, U12(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(plus(x0, plus(z0, z1))) -> c20(A__PLUS(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(plus(x0, U21(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(plus(x0, U22(z0, z1, z2))) -> c20(A__PLUS(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(plus(x0, x(z0, z1))) -> c20(A__PLUS(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(plus(x0, s(z0))) -> c20(A__PLUS(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(plus(U11(z0, z1, z2), x1)) -> c20(A__PLUS(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U12(z0, z1, z2), x1)) -> c20(A__PLUS(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(plus(z0, z1), x1)) -> c20(A__PLUS(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(U21(z0, z1, z2), x1)) -> c20(A__PLUS(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(U22(z0, z1, z2), x1)) -> c20(A__PLUS(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(plus(x(z0, z1), x1)) -> c20(A__PLUS(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(plus(tt, x1)) -> c20(A__PLUS(tt, mark(x1)), MARK(x1)) MARK(plus(s(z0), x1)) -> c20(A__PLUS(s(mark(z0)), mark(x1)), MARK(x1)) MARK(plus(0, x1)) -> c20(A__PLUS(0, mark(x1)), MARK(x1)) MARK(plus(x0, 0)) -> c20(A__PLUS(mark(x0), 0)) MARK(U21(U11(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U21(U12(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U21(plus(z0, z1), x1, x2)) -> c21(A__U21(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U21(U21(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U21(U22(z0, z1, z2), x1, x2)) -> c21(A__U21(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U21(x(z0, z1), x1, x2)) -> c21(A__U21(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U21(tt, x1, x2)) -> c21(A__U21(tt, x1, x2)) MARK(U21(s(z0), x1, x2)) -> c21(MARK(s(z0))) MARK(U22(U11(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U11(mark(z0), z1, z2), x1, x2), MARK(U11(z0, z1, z2))) MARK(U22(U12(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U12(mark(z0), z1, z2), x1, x2), MARK(U12(z0, z1, z2))) MARK(U22(plus(z0, z1), x1, x2)) -> c22(A__U22(a__plus(mark(z0), mark(z1)), x1, x2), MARK(plus(z0, z1))) MARK(U22(U21(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U21(mark(z0), z1, z2), x1, x2), MARK(U21(z0, z1, z2))) MARK(U22(U22(z0, z1, z2), x1, x2)) -> c22(A__U22(a__U22(mark(z0), z1, z2), x1, x2), MARK(U22(z0, z1, z2))) MARK(U22(x(z0, z1), x1, x2)) -> c22(A__U22(a__x(mark(z0), mark(z1)), x1, x2), MARK(x(z0, z1))) MARK(U22(tt, x1, x2)) -> c22(A__U22(tt, x1, x2)) MARK(U22(s(z0), x1, x2)) -> c22(MARK(s(z0))) MARK(x(x0, U11(z0, z1, z2))) -> c23(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U12(z0, z1, z2))) -> c23(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, plus(z0, z1))) -> c23(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, U21(z0, z1, z2))) -> c23(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, U22(z0, z1, z2))) -> c23(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(x0)) MARK(x(x0, x(z0, z1))) -> c23(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x0)) MARK(x(x0, s(z0))) -> c23(A__X(mark(x0), s(mark(z0))), MARK(x0)) MARK(x(U11(z0, z1, z2), x1)) -> c23(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(U11(z0, z1, z2))) MARK(x(U12(z0, z1, z2), x1)) -> c23(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(U12(z0, z1, z2))) MARK(x(plus(z0, z1), x1)) -> c23(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(plus(z0, z1))) MARK(x(U21(z0, z1, z2), x1)) -> c23(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(U21(z0, z1, z2))) MARK(x(U22(z0, z1, z2), x1)) -> c23(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(U22(z0, z1, z2))) MARK(x(x(z0, z1), x1)) -> c23(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x(z0, z1))) MARK(x(s(z0), x1)) -> c23(A__X(s(mark(z0)), mark(x1)), MARK(s(z0))) MARK(x(x0, tt)) -> c23(MARK(x0)) MARK(x(x0, 0)) -> c23(MARK(x0)) MARK(x(tt, x1)) -> c23(A__X(tt, mark(x1))) MARK(x(0, x1)) -> c23(A__X(0, mark(x1))) MARK(x(x0, U11(z0, z1, z2))) -> c24(A__X(mark(x0), a__U11(mark(z0), z1, z2)), MARK(U11(z0, z1, z2))) MARK(x(x0, U12(z0, z1, z2))) -> c24(A__X(mark(x0), a__U12(mark(z0), z1, z2)), MARK(U12(z0, z1, z2))) MARK(x(x0, plus(z0, z1))) -> c24(A__X(mark(x0), a__plus(mark(z0), mark(z1))), MARK(plus(z0, z1))) MARK(x(x0, U21(z0, z1, z2))) -> c24(A__X(mark(x0), a__U21(mark(z0), z1, z2)), MARK(U21(z0, z1, z2))) MARK(x(x0, U22(z0, z1, z2))) -> c24(A__X(mark(x0), a__U22(mark(z0), z1, z2)), MARK(U22(z0, z1, z2))) MARK(x(x0, x(z0, z1))) -> c24(A__X(mark(x0), a__x(mark(z0), mark(z1))), MARK(x(z0, z1))) MARK(x(x0, s(z0))) -> c24(A__X(mark(x0), s(mark(z0))), MARK(s(z0))) MARK(x(U11(z0, z1, z2), x1)) -> c24(A__X(a__U11(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U12(z0, z1, z2), x1)) -> c24(A__X(a__U12(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(plus(z0, z1), x1)) -> c24(A__X(a__plus(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(U21(z0, z1, z2), x1)) -> c24(A__X(a__U21(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(U22(z0, z1, z2), x1)) -> c24(A__X(a__U22(mark(z0), z1, z2), mark(x1)), MARK(x1)) MARK(x(x(z0, z1), x1)) -> c24(A__X(a__x(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(x(tt, x1)) -> c24(A__X(tt, mark(x1)), MARK(x1)) MARK(x(s(z0), x1)) -> c24(A__X(s(mark(z0)), mark(x1)), MARK(x1)) MARK(x(0, x1)) -> c24(A__X(0, mark(x1)), MARK(x1)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U11(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(x3)) A__U12(tt, U11(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U11(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U11(0, x1, x2)), MARK(x3)) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U11(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U11(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U11(mark(x0), x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U11(mark(x0), x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U12(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(x3)) A__U12(tt, U12(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U12(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U12(0, x1, x2)), MARK(x3)) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U12(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U12(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U12(mark(x0), x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U12(mark(x0), x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, plus(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(x2)) A__U12(tt, plus(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, plus(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(x2)) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, plus(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, plus(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(x2)) A__U12(tt, plus(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, plus(0, x1), x2) -> c2(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(x2)) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, plus(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, plus(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, plus(x0, x1), tt) -> c2(A__PLUS(tt, a__plus(mark(x0), mark(x1)))) A__U12(tt, plus(x0, x1), 0) -> c2(A__PLUS(0, a__plus(mark(x0), mark(x1)))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U21(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(x3)) A__U12(tt, U21(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U21(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U21(0, x1, x2)), MARK(x3)) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U21(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U21(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U21(mark(x0), x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U21(mark(x0), x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(x3)) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(x3)) A__U12(tt, U22(tt, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(x3)) A__U12(tt, U22(s(z0), x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(x3)) A__U12(tt, U22(0, x1, x2), x3) -> c2(A__PLUS(mark(x3), a__U22(0, x1, x2)), MARK(x3)) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U11(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U12(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(plus(z0, z1))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U21(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(z0, z1, z2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(x(z0, z1))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(s(z0))) A__U12(tt, U22(x0, z1, z2), x3) -> c2(MARK(x3)) A__U12(tt, U22(x0, x1, x2), tt) -> c2(A__PLUS(tt, a__U22(mark(x0), x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c2(A__PLUS(0, a__U22(mark(x0), x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x2)) A__U12(tt, x(x0, x(z0, z1)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x2)) A__U12(tt, x(x0, tt), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x2)) A__U12(tt, x(x0, s(z0)), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x2)) A__U12(tt, x(x0, 0), x2) -> c2(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x2)) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(plus(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x2)) A__U12(tt, x(x(z0, z1), x1), x2) -> c2(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x2)) A__U12(tt, x(tt, x1), x2) -> c2(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x2)) A__U12(tt, x(s(z0), x1), x2) -> c2(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x2)) A__U12(tt, x(0, x1), x2) -> c2(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x2)) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c2(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U11(z0, z1, z2))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c2(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U12(z0, z1, z2))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c2(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(plus(z0, z1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c2(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U21(z0, z1, z2))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c2(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(U22(z0, z1, z2))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c2(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(z0, z1))) A__U12(tt, x(x0, x1), s(z0)) -> c2(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(s(z0))) A__U12(tt, x(x0, x1), x2) -> c2(MARK(x2)) A__U12(tt, x(x0, x1), tt) -> c2(A__PLUS(tt, a__x(mark(x0), mark(x1)))) A__U12(tt, x(x0, x1), 0) -> c2(A__PLUS(0, a__x(mark(x0), mark(x1)))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(U11(x1, x2, x3))) A__U12(tt, 0, U11(x1, x2, x3)) -> c2(A__PLUS(a__U11(mark(x1), x2, x3), 0), MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(x1, z1, z2)) -> c2(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(U11(x1, z1, z2))) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(plus(z0, z1), x2, x3))) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U11(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U11(x(z0, z1), x2, x3))) A__U12(tt, x0, U11(tt, x2, x3)) -> c2(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(U11(tt, x2, x3))) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c2(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(U11(s(z0), x2, x3))) A__U12(tt, tt, U11(x1, x2, x3)) -> c2(MARK(U11(x1, x2, x3))) A__U12(tt, x0, U11(0, x2, x3)) -> c2(A__PLUS(a__U11(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(U12(x1, x2, x3))) A__U12(tt, 0, U12(x1, x2, x3)) -> c2(A__PLUS(a__U12(mark(x1), x2, x3), 0), MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(x1, z1, z2)) -> c2(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(U12(x1, z1, z2))) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(plus(z0, z1), x2, x3))) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U12(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U12(x(z0, z1), x2, x3))) A__U12(tt, x0, U12(tt, x2, x3)) -> c2(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(U12(tt, x2, x3))) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c2(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(U12(s(z0), x2, x3))) A__U12(tt, tt, U12(x1, x2, x3)) -> c2(MARK(U12(x1, x2, x3))) A__U12(tt, x0, U12(0, x2, x3)) -> c2(A__PLUS(a__U12(0, x2, x3), mark(x0))) A__U12(tt, s(z0), plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(plus(x1, x2))) A__U12(tt, 0, plus(x1, x2)) -> c2(A__PLUS(a__plus(mark(x1), mark(x2)), 0), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, x2)) -> c2(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(plus(x1, x2))) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U11(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U12(z0, z1, z2)))) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, plus(z0, z1)))) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U21(z0, z1, z2)))) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(plus(x1, U22(z0, z1, z2)))) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c2(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(plus(x1, x(z0, z1)))) A__U12(tt, x0, plus(x1, tt)) -> c2(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(plus(x1, tt))) A__U12(tt, x0, plus(x1, s(z0))) -> c2(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(plus(x1, s(z0)))) A__U12(tt, x0, plus(x1, 0)) -> c2(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(plus(x1, 0))) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U11(z0, z1, z2), x2))) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U12(z0, z1, z2), x2))) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(plus(z0, z1), x2))) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U21(z0, z1, z2), x2))) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(plus(U22(z0, z1, z2), x2))) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c2(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(plus(x(z0, z1), x2))) A__U12(tt, x0, plus(tt, x2)) -> c2(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(plus(tt, x2))) A__U12(tt, x0, plus(s(z0), x2)) -> c2(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(plus(s(z0), x2))) A__U12(tt, x0, plus(0, x2)) -> c2(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(plus(0, x2))) A__U12(tt, tt, plus(x1, x2)) -> c2(MARK(plus(x1, x2))) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(U21(x1, x2, x3))) A__U12(tt, 0, U21(x1, x2, x3)) -> c2(A__PLUS(a__U21(mark(x1), x2, x3), 0), MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(x1, z1, z2)) -> c2(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(U21(x1, z1, z2))) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(plus(z0, z1), x2, x3))) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U21(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U21(x(z0, z1), x2, x3))) A__U12(tt, x0, U21(tt, x2, x3)) -> c2(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(U21(tt, x2, x3))) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c2(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(U21(s(z0), x2, x3))) A__U12(tt, tt, U21(x1, x2, x3)) -> c2(MARK(U21(x1, x2, x3))) A__U12(tt, x0, U21(0, x2, x3)) -> c2(A__PLUS(a__U21(0, x2, x3), mark(x0))) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(U22(x1, x2, x3))) A__U12(tt, 0, U22(x1, x2, x3)) -> c2(A__PLUS(a__U22(mark(x1), x2, x3), 0), MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(x1, z1, z2)) -> c2(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(U22(x1, z1, z2))) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U11(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U12(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(plus(z0, z1), x2, x3))) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U21(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c2(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(U22(U22(z0, z1, z2), x2, x3))) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c2(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(U22(x(z0, z1), x2, x3))) A__U12(tt, x0, U22(tt, x2, x3)) -> c2(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(U22(tt, x2, x3))) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c2(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(U22(s(z0), x2, x3))) A__U12(tt, tt, U22(x1, x2, x3)) -> c2(MARK(U22(x1, x2, x3))) A__U12(tt, x0, U22(0, x2, x3)) -> c2(A__PLUS(a__U22(0, x2, x3), mark(x0))) A__U12(tt, s(z0), x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(x(x1, x2))) A__U12(tt, 0, x(x1, x2)) -> c2(A__PLUS(a__x(mark(x1), mark(x2)), 0), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, x2)) -> c2(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x(x1, x2))) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U11(z0, z1, z2)))) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U12(z0, z1, z2)))) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, plus(z0, z1)))) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U21(z0, z1, z2)))) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c2(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x(x1, U22(z0, z1, z2)))) A__U12(tt, x0, x(x1, x(z0, z1))) -> c2(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x(x1, x(z0, z1)))) A__U12(tt, x0, x(x1, tt)) -> c2(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x(x1, tt))) A__U12(tt, x0, x(x1, s(z0))) -> c2(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x(x1, s(z0)))) A__U12(tt, x0, x(x1, 0)) -> c2(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x(x1, 0))) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U11(z0, z1, z2), x2))) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U12(z0, z1, z2), x2))) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c2(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(plus(z0, z1), x2))) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U21(z0, z1, z2), x2))) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c2(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x(U22(z0, z1, z2), x2))) A__U12(tt, x0, x(x(z0, z1), x2)) -> c2(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x(x(z0, z1), x2))) A__U12(tt, x0, x(tt, x2)) -> c2(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x(tt, x2))) A__U12(tt, x0, x(s(z0), x2)) -> c2(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x(s(z0), x2))) A__U12(tt, x0, x(0, x2)) -> c2(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x(0, x2))) A__U12(tt, tt, x(x1, x2)) -> c2(MARK(x(x1, x2))) A__U12(tt, s(z0), s(x1)) -> c2(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(x1))) A__U12(tt, 0, s(x1)) -> c2(A__PLUS(s(mark(x1)), 0), MARK(s(x1))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c2(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(s(U11(z0, z1, z2)))) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c2(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(s(U12(z0, z1, z2)))) A__U12(tt, x0, s(plus(z0, z1))) -> c2(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(s(plus(z0, z1)))) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c2(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(s(U21(z0, z1, z2)))) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c2(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(s(U22(z0, z1, z2)))) A__U12(tt, x0, s(x(z0, z1))) -> c2(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(s(x(z0, z1)))) A__U12(tt, x0, s(tt)) -> c2(A__PLUS(s(tt), mark(x0)), MARK(s(tt))) A__U12(tt, x0, s(s(z0))) -> c2(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(s(s(z0)))) A__U12(tt, x0, s(0)) -> c2(A__PLUS(s(0), mark(x0)), MARK(s(0))) A__U12(tt, x0, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, tt, s(x1)) -> c2(MARK(s(x1))) A__U12(tt, s(z0), tt) -> c2(A__PLUS(tt, s(mark(z0)))) A__U12(tt, 0, tt) -> c2(A__PLUS(tt, 0)) A__U12(tt, s(z0), 0) -> c2(A__PLUS(0, s(mark(z0)))) A__U12(tt, 0, 0) -> c2(A__PLUS(0, 0)) A__U12(tt, U11(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U11(U11(z0, z1, z2), x1, x2))) A__U12(tt, U11(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U11(U12(z0, z1, z2), x1, x2))) A__U12(tt, U11(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U11(plus(z0, z1), x1, x2))) A__U12(tt, U11(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U11(U21(z0, z1, z2), x1, x2))) A__U12(tt, U11(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U11(U22(z0, z1, z2), x1, x2))) A__U12(tt, U11(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U11(x(z0, z1), x1, x2))) A__U12(tt, U11(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(tt, x1, x2)), MARK(U11(tt, x1, x2))) A__U12(tt, U11(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(s(mark(z0)), x1, x2)), MARK(U11(s(z0), x1, x2))) A__U12(tt, U11(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U11(mark(x0), x1, x2)), MARK(U11(x0, x1, x2))) A__U12(tt, U11(x0, z1, z2), x3) -> c3(MARK(U11(x0, z1, z2))) A__U12(tt, U11(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U11(0, x1, x2))) A__U12(tt, U12(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U12(U11(z0, z1, z2), x1, x2))) A__U12(tt, U12(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U12(U12(z0, z1, z2), x1, x2))) A__U12(tt, U12(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U12(plus(z0, z1), x1, x2))) A__U12(tt, U12(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U12(U21(z0, z1, z2), x1, x2))) A__U12(tt, U12(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U12(U22(z0, z1, z2), x1, x2))) A__U12(tt, U12(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U12(x(z0, z1), x1, x2))) A__U12(tt, U12(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(tt, x1, x2)), MARK(U12(tt, x1, x2))) A__U12(tt, U12(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(s(mark(z0)), x1, x2)), MARK(U12(s(z0), x1, x2))) A__U12(tt, U12(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U12(mark(x0), x1, x2)), MARK(U12(x0, x1, x2))) A__U12(tt, U12(x0, z1, z2), x3) -> c3(MARK(U12(x0, z1, z2))) A__U12(tt, U12(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U12(0, x1, x2))) A__U12(tt, plus(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U11(mark(z0), z1, z2))), MARK(plus(x0, U11(z0, z1, z2)))) A__U12(tt, plus(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U12(mark(z0), z1, z2))), MARK(plus(x0, U12(z0, z1, z2)))) A__U12(tt, plus(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(plus(x0, plus(z0, z1)))) A__U12(tt, plus(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U21(mark(z0), z1, z2))), MARK(plus(x0, U21(z0, z1, z2)))) A__U12(tt, plus(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__U22(mark(z0), z1, z2))), MARK(plus(x0, U22(z0, z1, z2)))) A__U12(tt, plus(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), a__x(mark(z0), mark(z1)))), MARK(plus(x0, x(z0, z1)))) A__U12(tt, plus(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), tt)), MARK(plus(x0, tt))) A__U12(tt, plus(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), s(mark(z0)))), MARK(plus(x0, s(z0)))) A__U12(tt, plus(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__plus(mark(x0), 0)), MARK(plus(x0, 0))) A__U12(tt, plus(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U11(mark(z0), z1, z2), mark(x1))), MARK(plus(U11(z0, z1, z2), x1))) A__U12(tt, plus(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U12(mark(z0), z1, z2), mark(x1))), MARK(plus(U12(z0, z1, z2), x1))) A__U12(tt, plus(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(plus(plus(z0, z1), x1))) A__U12(tt, plus(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U21(mark(z0), z1, z2), mark(x1))), MARK(plus(U21(z0, z1, z2), x1))) A__U12(tt, plus(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__U22(mark(z0), z1, z2), mark(x1))), MARK(plus(U22(z0, z1, z2), x1))) A__U12(tt, plus(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(a__x(mark(z0), mark(z1)), mark(x1))), MARK(plus(x(z0, z1), x1))) A__U12(tt, plus(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(tt, mark(x1))), MARK(plus(tt, x1))) A__U12(tt, plus(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__plus(s(mark(z0)), mark(x1))), MARK(plus(s(z0), x1))) A__U12(tt, plus(0, x1), x2) -> c3(A__PLUS(mark(x2), a__plus(0, mark(x1))), MARK(plus(0, x1))) A__U12(tt, plus(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), tt) -> c3(A__PLUS(tt, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), 0) -> c3(A__PLUS(0, a__plus(mark(x0), mark(x1))), MARK(plus(x0, x1))) A__U12(tt, plus(x0, x1), x2) -> c3(MARK(plus(x0, x1))) A__U12(tt, U21(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U21(U11(z0, z1, z2), x1, x2))) A__U12(tt, U21(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U21(U12(z0, z1, z2), x1, x2))) A__U12(tt, U21(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U21(plus(z0, z1), x1, x2))) A__U12(tt, U21(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U21(U21(z0, z1, z2), x1, x2))) A__U12(tt, U21(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U21(U22(z0, z1, z2), x1, x2))) A__U12(tt, U21(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U21(x(z0, z1), x1, x2))) A__U12(tt, U21(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(tt, x1, x2)), MARK(U21(tt, x1, x2))) A__U12(tt, U21(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(s(mark(z0)), x1, x2)), MARK(U21(s(z0), x1, x2))) A__U12(tt, U21(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U21(mark(x0), x1, x2)), MARK(U21(x0, x1, x2))) A__U12(tt, U21(x0, z1, z2), x3) -> c3(MARK(U21(x0, z1, z2))) A__U12(tt, U21(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U21(0, x1, x2))) A__U12(tt, U22(U11(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U11(mark(z0), z1, z2), x1, x2)), MARK(U22(U11(z0, z1, z2), x1, x2))) A__U12(tt, U22(U12(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U12(mark(z0), z1, z2), x1, x2)), MARK(U22(U12(z0, z1, z2), x1, x2))) A__U12(tt, U22(plus(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__plus(mark(z0), mark(z1)), x1, x2)), MARK(U22(plus(z0, z1), x1, x2))) A__U12(tt, U22(U21(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U21(mark(z0), z1, z2), x1, x2)), MARK(U22(U21(z0, z1, z2), x1, x2))) A__U12(tt, U22(U22(z0, z1, z2), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__U22(mark(z0), z1, z2), x1, x2)), MARK(U22(U22(z0, z1, z2), x1, x2))) A__U12(tt, U22(x(z0, z1), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(a__x(mark(z0), mark(z1)), x1, x2)), MARK(U22(x(z0, z1), x1, x2))) A__U12(tt, U22(tt, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(tt, x1, x2)), MARK(U22(tt, x1, x2))) A__U12(tt, U22(s(z0), x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(s(mark(z0)), x1, x2)), MARK(U22(s(z0), x1, x2))) A__U12(tt, U22(x0, x1, x2), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), tt) -> c3(A__PLUS(tt, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, x1, x2), 0) -> c3(A__PLUS(0, a__U22(mark(x0), x1, x2)), MARK(U22(x0, x1, x2))) A__U12(tt, U22(x0, z1, z2), x3) -> c3(MARK(U22(x0, z1, z2))) A__U12(tt, U22(0, x1, x2), x3) -> c3(A__PLUS(mark(x3), a__U22(0, x1, x2))) A__U12(tt, x(x0, U11(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U11(mark(z0), z1, z2))), MARK(x(x0, U11(z0, z1, z2)))) A__U12(tt, x(x0, U12(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U12(mark(z0), z1, z2))), MARK(x(x0, U12(z0, z1, z2)))) A__U12(tt, x(x0, plus(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__plus(mark(z0), mark(z1)))), MARK(x(x0, plus(z0, z1)))) A__U12(tt, x(x0, U21(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U21(mark(z0), z1, z2))), MARK(x(x0, U21(z0, z1, z2)))) A__U12(tt, x(x0, U22(z0, z1, z2)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__U22(mark(z0), z1, z2))), MARK(x(x0, U22(z0, z1, z2)))) A__U12(tt, x(x0, x(z0, z1)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), a__x(mark(z0), mark(z1)))), MARK(x(x0, x(z0, z1)))) A__U12(tt, x(x0, tt), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), tt)), MARK(x(x0, tt))) A__U12(tt, x(x0, s(z0)), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), s(mark(z0)))), MARK(x(x0, s(z0)))) A__U12(tt, x(x0, 0), x2) -> c3(A__PLUS(mark(x2), a__x(mark(x0), 0)), MARK(x(x0, 0))) A__U12(tt, x(U11(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U11(mark(z0), z1, z2), mark(x1))), MARK(x(U11(z0, z1, z2), x1))) A__U12(tt, x(U12(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U12(mark(z0), z1, z2), mark(x1))), MARK(x(U12(z0, z1, z2), x1))) A__U12(tt, x(plus(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__plus(mark(z0), mark(z1)), mark(x1))), MARK(x(plus(z0, z1), x1))) A__U12(tt, x(U21(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U21(mark(z0), z1, z2), mark(x1))), MARK(x(U21(z0, z1, z2), x1))) A__U12(tt, x(U22(z0, z1, z2), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__U22(mark(z0), z1, z2), mark(x1))), MARK(x(U22(z0, z1, z2), x1))) A__U12(tt, x(x(z0, z1), x1), x2) -> c3(A__PLUS(mark(x2), a__x(a__x(mark(z0), mark(z1)), mark(x1))), MARK(x(x(z0, z1), x1))) A__U12(tt, x(tt, x1), x2) -> c3(A__PLUS(mark(x2), a__x(tt, mark(x1))), MARK(x(tt, x1))) A__U12(tt, x(s(z0), x1), x2) -> c3(A__PLUS(mark(x2), a__x(s(mark(z0)), mark(x1))), MARK(x(s(z0), x1))) A__U12(tt, x(0, x1), x2) -> c3(A__PLUS(mark(x2), a__x(0, mark(x1))), MARK(x(0, x1))) A__U12(tt, x(x0, x1), U11(z0, z1, z2)) -> c3(A__PLUS(a__U11(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U12(z0, z1, z2)) -> c3(A__PLUS(a__U12(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), plus(z0, z1)) -> c3(A__PLUS(a__plus(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U21(z0, z1, z2)) -> c3(A__PLUS(a__U21(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), U22(z0, z1, z2)) -> c3(A__PLUS(a__U22(mark(z0), z1, z2), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x(z0, z1)) -> c3(A__PLUS(a__x(mark(z0), mark(z1)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), tt) -> c3(A__PLUS(tt, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), s(z0)) -> c3(A__PLUS(s(mark(z0)), a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), 0) -> c3(A__PLUS(0, a__x(mark(x0), mark(x1))), MARK(x(x0, x1))) A__U12(tt, x(x0, x1), x2) -> c3(MARK(x(x0, x1))) A__U12(tt, s(z0), U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U11(x1, z1, z2)) -> c3(A__PLUS(U11(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U11(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U11(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(tt, x2, x3)) -> c3(A__PLUS(a__U11(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(s(z0), x2, x3)) -> c3(A__PLUS(a__U11(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U11(0, x2, x3)) -> c3(A__PLUS(a__U11(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U11(x1, x2, x3)) -> c3(A__PLUS(a__U11(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U12(x1, z1, z2)) -> c3(A__PLUS(U12(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U12(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U12(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(tt, x2, x3)) -> c3(A__PLUS(a__U12(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(s(z0), x2, x3)) -> c3(A__PLUS(a__U12(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U12(0, x2, x3)) -> c3(A__PLUS(a__U12(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U12(x1, x2, x3)) -> c3(A__PLUS(a__U12(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, plus(x1, x2)) -> c3(A__PLUS(plus(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, plus(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__plus(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, x(z0, z1))) -> c3(A__PLUS(a__plus(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, tt)) -> c3(A__PLUS(a__plus(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, s(z0))) -> c3(A__PLUS(a__plus(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x1, 0)) -> c3(A__PLUS(a__plus(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(plus(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__plus(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(x(z0, z1), x2)) -> c3(A__PLUS(a__plus(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(tt, x2)) -> c3(A__PLUS(a__plus(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(s(z0), x2)) -> c3(A__PLUS(a__plus(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, plus(0, x2)) -> c3(A__PLUS(a__plus(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, plus(x1, x2)) -> c3(A__PLUS(a__plus(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U21(x1, z1, z2)) -> c3(A__PLUS(U21(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U21(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U21(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(tt, x2, x3)) -> c3(A__PLUS(a__U21(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(s(z0), x2, x3)) -> c3(A__PLUS(a__U21(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U21(0, x2, x3)) -> c3(A__PLUS(a__U21(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U21(x1, x2, x3)) -> c3(A__PLUS(a__U21(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, U22(x1, z1, z2)) -> c3(A__PLUS(U22(mark(x1), z1, z2), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U11(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U11(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U12(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U12(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(plus(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__plus(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U21(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U21(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(U22(z0, z1, z2), x2, x3)) -> c3(A__PLUS(a__U22(a__U22(mark(z0), z1, z2), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(x(z0, z1), x2, x3)) -> c3(A__PLUS(a__U22(a__x(mark(z0), mark(z1)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(tt, x2, x3)) -> c3(A__PLUS(a__U22(tt, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(s(z0), x2, x3)) -> c3(A__PLUS(a__U22(s(mark(z0)), x2, x3), mark(x0)), MARK(x0)) A__U12(tt, x0, U22(0, x2, x3)) -> c3(A__PLUS(a__U22(0, x2, x3), mark(x0)), MARK(x0)) A__U12(tt, 0, U22(x1, x2, x3)) -> c3(A__PLUS(a__U22(mark(x1), x2, x3), 0)) A__U12(tt, s(z0), x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, x(x1, x2)) -> c3(A__PLUS(x(mark(x1), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U11(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U12(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, plus(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U21(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, U22(z0, z1, z2))) -> c3(A__PLUS(a__x(mark(x1), a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, x(z0, z1))) -> c3(A__PLUS(a__x(mark(x1), a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, tt)) -> c3(A__PLUS(a__x(mark(x1), tt), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, s(z0))) -> c3(A__PLUS(a__x(mark(x1), s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x1, 0)) -> c3(A__PLUS(a__x(mark(x1), 0), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U11(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U11(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U12(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U12(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(plus(z0, z1), x2)) -> c3(A__PLUS(a__x(a__plus(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U21(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U21(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(U22(z0, z1, z2), x2)) -> c3(A__PLUS(a__x(a__U22(mark(z0), z1, z2), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(x(z0, z1), x2)) -> c3(A__PLUS(a__x(a__x(mark(z0), mark(z1)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(tt, x2)) -> c3(A__PLUS(a__x(tt, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(s(z0), x2)) -> c3(A__PLUS(a__x(s(mark(z0)), mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, x0, x(0, x2)) -> c3(A__PLUS(a__x(0, mark(x2)), mark(x0)), MARK(x0)) A__U12(tt, 0, x(x1, x2)) -> c3(A__PLUS(a__x(mark(x1), mark(x2)), 0)) A__U12(tt, s(z0), tt) -> c3(A__PLUS(tt, s(mark(z0))), MARK(s(z0))) A__U12(tt, 0, tt) -> c3(A__PLUS(tt, 0)) A__U12(tt, s(z0), s(x1)) -> c3(A__PLUS(s(mark(x1)), s(mark(z0))), MARK(s(z0))) A__U12(tt, x0, s(U11(z0, z1, z2))) -> c3(A__PLUS(s(a__U11(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U12(z0, z1, z2))) -> c3(A__PLUS(s(a__U12(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(plus(z0, z1))) -> c3(A__PLUS(s(a__plus(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U21(z0, z1, z2))) -> c3(A__PLUS(s(a__U21(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(U22(z0, z1, z2))) -> c3(A__PLUS(s(a__U22(mark(z0), z1, z2)), mark(x0)), MARK(x0)) A__U12(tt, x0, s(x(z0, z1))) -> c3(A__PLUS(s(a__x(mark(z0), mark(z1))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(tt)) -> c3(A__PLUS(s(tt), mark(x0)), MARK(x0)) A__U12(tt, x0, s(s(z0))) -> c3(A__PLUS(s(s(mark(z0))), mark(x0)), MARK(x0)) A__U12(tt, x0, s(0)) -> c3(A__PLUS(s(0), mark(x0)), MARK(x0)) A__U12(tt, 0, s(x1)) -> c3(A__PLUS(s(mark(x1)), 0)) K tuples:none Defined Rule Symbols: a__U11_3, a__U12_3, a__U21_3, a__U22_3, a__plus_2, a__x_2, mark_1 Defined Pair Symbols: A__U11_3, A__U21_3, A__PLUS_2, A__X_2, MARK_1, A__U12_3, A__U22_3 Compound Symbols: c_1, c5_1, c11_1, c12_1, c15_1, c26_1, c2_2, c2_1, c3_2, c3_1, c7_3, c7_1, c7_2, c8_3, c8_2, c9_2, c9_1, c17_2, c17_1, c18_2, c18_1, c19_2, c19_1, c20_2, c20_1, c21_2, c21_1, c22_2, c22_1, c23_2, c23_1, c24_2